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Finding the Fourth Proportional to 25,505.52, 38,258.52 and 7,974

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Solution

The fourth proportional to 25,505.52, 38,258.52 and 7,974 is: 11,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,505.52 : 38,258.52 = 7,974 : x
  2. Step 2: Convert to fraction form
    25,505.52/38,258.52 = 7,974/x
  3. Step 3: Cross multiply
    25,505.52x = 38,258.52 × 7,974
  4. Step 4: Simplify right side
    25,505.52x = 305,073,438.48
  5. Step 5: Solve for x
    x = 305,073,438.48/25,505.52
  6. Step 6: Final answer
    x = 11,961.08

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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.