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Finding the Fourth Proportional to 17,876.68, 24,669.50 and 9,918.77

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Solution

The fourth proportional to 17,876.68, 24,669.50 and 9,918.77 is: 13,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.68 : 24,669.50 = 9,918.77 : x
  2. Step 2: Convert to fraction form
    17,876.68/24,669.50 = 9,918.77/x
  3. Step 3: Cross multiply
    17,876.68x = 24,669.50 × 9,918.77
  4. Step 4: Simplify right side
    17,876.68x = 244,691,059.64
  5. Step 5: Solve for x
    x = 244,691,059.64/17,876.68
  6. Step 6: Final answer
    x = 13,687.72

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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.