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Finding the Fourth Proportional to 24,438.54, 36,639.86 and 7,789

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Solution

The fourth proportional to 24,438.54, 36,639.86 and 7,789 is: 11,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.54 : 36,639.86 = 7,789 : x
  2. Step 2: Convert to fraction form
    24,438.54/36,639.86 = 7,789/x
  3. Step 3: Cross multiply
    24,438.54x = 36,639.86 × 7,789
  4. Step 4: Simplify right side
    24,438.54x = 285,387,869.54
  5. Step 5: Solve for x
    x = 285,387,869.54/24,438.54
  6. Step 6: Final answer
    x = 11,677.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.