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Finding the Fourth Proportional to 8,242.57, 12,370.52 and 4,686.87

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Solution

The fourth proportional to 8,242.57, 12,370.52 and 4,686.87 is: 7,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.57 : 12,370.52 = 4,686.87 : x
  2. Step 2: Convert to fraction form
    8,242.57/12,370.52 = 4,686.87/x
  3. Step 3: Cross multiply
    8,242.57x = 12,370.52 × 4,686.87
  4. Step 4: Simplify right side
    8,242.57x = 57,979,077.18
  5. Step 5: Solve for x
    x = 57,979,077.18/8,242.57
  6. Step 6: Final answer
    x = 7,034.10

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Why These Related Problems?

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