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Finding the Fourth Proportional to 17,921.50, 24,731.36 and 9,962.70

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Solution

The fourth proportional to 17,921.50, 24,731.36 and 9,962.70 is: 13,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.50 : 24,731.36 = 9,962.70 : x
  2. Step 2: Convert to fraction form
    17,921.50/24,731.36 = 9,962.70/x
  3. Step 3: Cross multiply
    17,921.50x = 24,731.36 × 9,962.70
  4. Step 4: Simplify right side
    17,921.50x = 246,391,120.27
  5. Step 5: Solve for x
    x = 246,391,120.27/17,921.50
  6. Step 6: Final answer
    x = 13,748.35

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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.