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Finding the Fourth Proportional to 8,502.34, 12,747.36 and 5,722.12

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Solution

The fourth proportional to 8,502.34, 12,747.36 and 5,722.12 is: 8,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.34 : 12,747.36 = 5,722.12 : x
  2. Step 2: Convert to fraction form
    8,502.34/12,747.36 = 5,722.12/x
  3. Step 3: Cross multiply
    8,502.34x = 12,747.36 × 5,722.12
  4. Step 4: Simplify right side
    8,502.34x = 72,941,923.60
  5. Step 5: Solve for x
    x = 72,941,923.60/8,502.34
  6. Step 6: Final answer
    x = 8,579.04

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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.