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Finding the Fourth Proportional to 10,686.92, 14,747.65 and 5,971.20

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Solution

The fourth proportional to 10,686.92, 14,747.65 and 5,971.20 is: 8,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.92 : 14,747.65 = 5,971.20 : x
  2. Step 2: Convert to fraction form
    10,686.92/14,747.65 = 5,971.20/x
  3. Step 3: Cross multiply
    10,686.92x = 14,747.65 × 5,971.20
  4. Step 4: Simplify right side
    10,686.92x = 88,061,167.68
  5. Step 5: Solve for x
    x = 88,061,167.68/10,686.92
  6. Step 6: Final answer
    x = 8,240.09

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1.5x scale

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.