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Finding the Fourth Proportional to 11,397.71, 15,736.05 and 7,818.66

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Solution

The fourth proportional to 11,397.71, 15,736.05 and 7,818.66 is: 10,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.71 : 15,736.05 = 7,818.66 : x
  2. Step 2: Convert to fraction form
    11,397.71/15,736.05 = 7,818.66/x
  3. Step 3: Cross multiply
    11,397.71x = 15,736.05 × 7,818.66
  4. Step 4: Simplify right side
    11,397.71x = 123,034,824.69
  5. Step 5: Solve for x
    x = 123,034,824.69/11,397.71
  6. Step 6: Final answer
    x = 10,794.70

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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.