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Finding the Fourth Proportional to 8,468.47, 12,710.51 and 4,311.47

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Solution

The fourth proportional to 8,468.47, 12,710.51 and 4,311.47 is: 6,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.47 : 12,710.51 = 4,311.47 : x
  2. Step 2: Convert to fraction form
    8,468.47/12,710.51 = 4,311.47/x
  3. Step 3: Cross multiply
    8,468.47x = 12,710.51 × 4,311.47
  4. Step 4: Simplify right side
    8,468.47x = 54,801,008.94
  5. Step 5: Solve for x
    x = 54,801,008.94/8,468.47
  6. Step 6: Final answer
    x = 6,471.18

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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.