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Finding the Fourth Proportional to 25,812, 38,724.48 and 7,344

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Solution

The fourth proportional to 25,812, 38,724.48 and 7,344 is: 11,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812 : 38,724.48 = 7,344 : x
  2. Step 2: Convert to fraction form
    25,812/38,724.48 = 7,344/x
  3. Step 3: Cross multiply
    25,812x = 38,724.48 × 7,344
  4. Step 4: Simplify right side
    25,812x = 284,392,581.12
  5. Step 5: Solve for x
    x = 284,392,581.12/25,812
  6. Step 6: Final answer
    x = 11,017.84

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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.