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Finding the Fourth Proportional to 4,071.75, 6,107.63 and 993.75

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Solution

The fourth proportional to 4,071.75, 6,107.63 and 993.75 is: 1,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.75 : 6,107.63 = 993.75 : x
  2. Step 2: Convert to fraction form
    4,071.75/6,107.63 = 993.75/x
  3. Step 3: Cross multiply
    4,071.75x = 6,107.63 × 993.75
  4. Step 4: Simplify right side
    4,071.75x = 6,069,452.34
  5. Step 5: Solve for x
    x = 6,069,452.34/4,071.75
  6. Step 6: Final answer
    x = 1,490.63

Related Problems

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Half scale
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Double scale
Find fourth proportional to 4,072.75, 6,109.13 and 994.75
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.