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Finding the Fourth Proportional to 25,802, 38,670.61 and 13,955.30

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Solution

The fourth proportional to 25,802, 38,670.61 and 13,955.30 is: 20,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802 : 38,670.61 = 13,955.30 : x
  2. Step 2: Convert to fraction form
    25,802/38,670.61 = 13,955.30/x
  3. Step 3: Cross multiply
    25,802x = 38,670.61 × 13,955.30
  4. Step 4: Simplify right side
    25,802x = 539,659,963.73
  5. Step 5: Solve for x
    x = 539,659,963.73/25,802
  6. Step 6: Final answer
    x = 20,915.43

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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.