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Finding the Fourth Proportional to 8,406.47, 11,600.88 and 4,869.61

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Solution

The fourth proportional to 8,406.47, 11,600.88 and 4,869.61 is: 6,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.47 : 11,600.88 = 4,869.61 : x
  2. Step 2: Convert to fraction form
    8,406.47/11,600.88 = 4,869.61/x
  3. Step 3: Cross multiply
    8,406.47x = 11,600.88 × 4,869.61
  4. Step 4: Simplify right side
    8,406.47x = 56,491,761.26
  5. Step 5: Solve for x
    x = 56,491,761.26/8,406.47
  6. Step 6: Final answer
    x = 6,720.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.