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Finding the Fourth Proportional to 25,600.56, 38,400.90 and 7,132.56

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Solution

The fourth proportional to 25,600.56, 38,400.90 and 7,132.56 is: 10,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.56 : 38,400.90 = 7,132.56 : x
  2. Step 2: Convert to fraction form
    25,600.56/38,400.90 = 7,132.56/x
  3. Step 3: Cross multiply
    25,600.56x = 38,400.90 × 7,132.56
  4. Step 4: Simplify right side
    25,600.56x = 273,896,723.30
  5. Step 5: Solve for x
    x = 273,896,723.30/25,600.56
  6. Step 6: Final answer
    x = 10,698.86

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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.