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Finding the Fourth Proportional to 8,187.92, 12,294.19 and 4,681.89

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Solution

The fourth proportional to 8,187.92, 12,294.19 and 4,681.89 is: 7,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.92 : 12,294.19 = 4,681.89 : x
  2. Step 2: Convert to fraction form
    8,187.92/12,294.19 = 4,681.89/x
  3. Step 3: Cross multiply
    8,187.92x = 12,294.19 × 4,681.89
  4. Step 4: Simplify right side
    8,187.92x = 57,560,010.74
  5. Step 5: Solve for x
    x = 57,560,010.74/8,187.92
  6. Step 6: Final answer
    x = 7,029.87

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1.5x scale

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.