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Finding the Fourth Proportional to 25,600.14, 38,400.18 and 7,132.14

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Solution

The fourth proportional to 25,600.14, 38,400.18 and 7,132.14 is: 10,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.14 : 38,400.18 = 7,132.14 : x
  2. Step 2: Convert to fraction form
    25,600.14/38,400.18 = 7,132.14/x
  3. Step 3: Cross multiply
    25,600.14x = 38,400.18 × 7,132.14
  4. Step 4: Simplify right side
    25,600.14x = 273,875,459.79
  5. Step 5: Solve for x
    x = 273,875,459.79/25,600.14
  6. Step 6: Final answer
    x = 10,698.20

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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.