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Finding the Fourth Proportional to 23,491.71, 32,417.91 and 13,418.55

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Solution

The fourth proportional to 23,491.71, 32,417.91 and 13,418.55 is: 18,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.71 : 32,417.91 = 13,418.55 : x
  2. Step 2: Convert to fraction form
    23,491.71/32,417.91 = 13,418.55/x
  3. Step 3: Cross multiply
    23,491.71x = 32,417.91 × 13,418.55
  4. Step 4: Simplify right side
    23,491.71x = 435,001,346.23
  5. Step 5: Solve for x
    x = 435,001,346.23/23,491.71
  6. Step 6: Final answer
    x = 18,517.23

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