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Finding the Fourth Proportional to 17,737.20, 24,476.22 and 9,779.49

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Solution

The fourth proportional to 17,737.20, 24,476.22 and 9,779.49 is: 13,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.20 : 24,476.22 = 9,779.49 : x
  2. Step 2: Convert to fraction form
    17,737.20/24,476.22 = 9,779.49/x
  3. Step 3: Cross multiply
    17,737.20x = 24,476.22 × 9,779.49
  4. Step 4: Simplify right side
    17,737.20x = 239,364,948.73
  5. Step 5: Solve for x
    x = 239,364,948.73/17,737.20
  6. Step 6: Final answer
    x = 13,495.08

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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.