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Finding the Fourth Proportional to 25,371.62, 38,061.07 and 7,842.81

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Solution

The fourth proportional to 25,371.62, 38,061.07 and 7,842.81 is: 11,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.62 : 38,061.07 = 7,842.81 : x
  2. Step 2: Convert to fraction form
    25,371.62/38,061.07 = 7,842.81/x
  3. Step 3: Cross multiply
    25,371.62x = 38,061.07 × 7,842.81
  4. Step 4: Simplify right side
    25,371.62x = 298,505,740.41
  5. Step 5: Solve for x
    x = 298,505,740.41/25,371.62
  6. Step 6: Final answer
    x = 11,765.34

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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.