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Finding the Fourth Proportional to 24,516.90, 36,778.68 and 7,871.40

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Solution

The fourth proportional to 24,516.90, 36,778.68 and 7,871.40 is: 11,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.90 : 36,778.68 = 7,871.40 : x
  2. Step 2: Convert to fraction form
    24,516.90/36,778.68 = 7,871.40/x
  3. Step 3: Cross multiply
    24,516.90x = 36,778.68 × 7,871.40
  4. Step 4: Simplify right side
    24,516.90x = 289,499,701.75
  5. Step 5: Solve for x
    x = 289,499,701.75/24,516.90
  6. Step 6: Final answer
    x = 11,808.17

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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.