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Finding the Fourth Proportional to 11,398.59, 15,694.97 and 9,716.22

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Solution

The fourth proportional to 11,398.59, 15,694.97 and 9,716.22 is: 13,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.59 : 15,694.97 = 9,716.22 : x
  2. Step 2: Convert to fraction form
    11,398.59/15,694.97 = 9,716.22/x
  3. Step 3: Cross multiply
    11,398.59x = 15,694.97 × 9,716.22
  4. Step 4: Simplify right side
    11,398.59x = 152,495,732.83
  5. Step 5: Solve for x
    x = 152,495,732.83/11,398.59
  6. Step 6: Final answer
    x = 13,378.47

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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.