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Finding the Fourth Proportional to 8,489.64, 12,731.98 and 3,559.16

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Solution

The fourth proportional to 8,489.64, 12,731.98 and 3,559.16 is: 5,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.64 : 12,731.98 = 3,559.16 : x
  2. Step 2: Convert to fraction form
    8,489.64/12,731.98 = 3,559.16/x
  3. Step 3: Cross multiply
    8,489.64x = 12,731.98 × 3,559.16
  4. Step 4: Simplify right side
    8,489.64x = 45,315,153.94
  5. Step 5: Solve for x
    x = 45,315,153.94/8,489.64
  6. Step 6: Final answer
    x = 5,337.70

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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.