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Finding the Fourth Proportional to 12,071.70, 16,641.48 and 8,475.69

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Solution

The fourth proportional to 12,071.70, 16,641.48 and 8,475.69 is: 11,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.70 : 16,641.48 = 8,475.69 : x
  2. Step 2: Convert to fraction form
    12,071.70/16,641.48 = 8,475.69/x
  3. Step 3: Cross multiply
    12,071.70x = 16,641.48 × 8,475.69
  4. Step 4: Simplify right side
    12,071.70x = 141,048,025.62
  5. Step 5: Solve for x
    x = 141,048,025.62/12,071.70
  6. Step 6: Final answer
    x = 11,684.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.