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Finding the Fourth Proportional to 8,689.61, 13,037.67 and 4,011.86

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Solution

The fourth proportional to 8,689.61, 13,037.67 and 4,011.86 is: 6,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.61 : 13,037.67 = 4,011.86 : x
  2. Step 2: Convert to fraction form
    8,689.61/13,037.67 = 4,011.86/x
  3. Step 3: Cross multiply
    8,689.61x = 13,037.67 × 4,011.86
  4. Step 4: Simplify right side
    8,689.61x = 52,305,221.52
  5. Step 5: Solve for x
    x = 52,305,221.52/8,689.61
  6. Step 6: Final answer
    x = 6,019.29

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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.