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Finding the Fourth Proportional to 17,638.70, 24,341.49 and 9,681.02

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Solution

The fourth proportional to 17,638.70, 24,341.49 and 9,681.02 is: 13,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.70 : 24,341.49 = 9,681.02 : x
  2. Step 2: Convert to fraction form
    17,638.70/24,341.49 = 9,681.02/x
  3. Step 3: Cross multiply
    17,638.70x = 24,341.49 × 9,681.02
  4. Step 4: Simplify right side
    17,638.70x = 235,650,451.52
  5. Step 5: Solve for x
    x = 235,650,451.52/17,638.70
  6. Step 6: Final answer
    x = 13,359.85

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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.