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Finding the Fourth Proportional to 8,071.47, 12,107.21 and 3,683.81

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Solution

The fourth proportional to 8,071.47, 12,107.21 and 3,683.81 is: 5,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.47 : 12,107.21 = 3,683.81 : x
  2. Step 2: Convert to fraction form
    8,071.47/12,107.21 = 3,683.81/x
  3. Step 3: Cross multiply
    8,071.47x = 12,107.21 × 3,683.81
  4. Step 4: Simplify right side
    8,071.47x = 44,600,673.12
  5. Step 5: Solve for x
    x = 44,600,673.12/8,071.47
  6. Step 6: Final answer
    x = 5,525.72

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Half scale
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Double scale
Find fourth proportional to 8,072.47, 12,108.71 and 3,684.81
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.