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Finding the Fourth Proportional to 25,600.44, 38,397.78 and 7,133.88

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Solution

The fourth proportional to 25,600.44, 38,397.78 and 7,133.88 is: 10,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.44 : 38,397.78 = 7,133.88 : x
  2. Step 2: Convert to fraction form
    25,600.44/38,397.78 = 7,133.88/x
  3. Step 3: Cross multiply
    25,600.44x = 38,397.78 × 7,133.88
  4. Step 4: Simplify right side
    25,600.44x = 273,925,154.79
  5. Step 5: Solve for x
    x = 273,925,154.79/25,600.44
  6. Step 6: Final answer
    x = 10,700.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.