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Finding the Fourth Proportional to 8,191.27, 12,285.72 and 4,030.17

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Solution

The fourth proportional to 8,191.27, 12,285.72 and 4,030.17 is: 6,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.27 : 12,285.72 = 4,030.17 : x
  2. Step 2: Convert to fraction form
    8,191.27/12,285.72 = 4,030.17/x
  3. Step 3: Cross multiply
    8,191.27x = 12,285.72 × 4,030.17
  4. Step 4: Simplify right side
    8,191.27x = 49,513,458.59
  5. Step 5: Solve for x
    x = 49,513,458.59/8,191.27
  6. Step 6: Final answer
    x = 6,044.66

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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.