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Finding the Fourth Proportional to 8,489.72, 12,728.40 and 5,709.48

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Solution

The fourth proportional to 8,489.72, 12,728.40 and 5,709.48 is: 8,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.72 : 12,728.40 = 5,709.48 : x
  2. Step 2: Convert to fraction form
    8,489.72/12,728.40 = 5,709.48/x
  3. Step 3: Cross multiply
    8,489.72x = 12,728.40 × 5,709.48
  4. Step 4: Simplify right side
    8,489.72x = 72,672,545.23
  5. Step 5: Solve for x
    x = 72,672,545.23/8,489.72
  6. Step 6: Final answer
    x = 8,560.06

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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.