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Finding the Fourth Proportional to 8,064.68, 12,038.69 and 7,487.96

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Solution

The fourth proportional to 8,064.68, 12,038.69 and 7,487.96 is: 11,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.68 : 12,038.69 = 7,487.96 : x
  2. Step 2: Convert to fraction form
    8,064.68/12,038.69 = 7,487.96/x
  3. Step 3: Cross multiply
    8,064.68x = 12,038.69 × 7,487.96
  4. Step 4: Simplify right side
    8,064.68x = 90,145,229.17
  5. Step 5: Solve for x
    x = 90,145,229.17/8,064.68
  6. Step 6: Final answer
    x = 11,177.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.