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Finding the Fourth Proportional to 25,391.84, 38,094 and 20,505.76

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Solution

The fourth proportional to 25,391.84, 38,094 and 20,505.76 is: 30,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,391.84 : 38,094 = 20,505.76 : x
  2. Step 2: Convert to fraction form
    25,391.84/38,094 = 20,505.76/x
  3. Step 3: Cross multiply
    25,391.84x = 38,094 × 20,505.76
  4. Step 4: Simplify right side
    25,391.84x = 781,146,421.44
  5. Step 5: Solve for x
    x = 781,146,421.44/25,391.84
  6. Step 6: Final answer
    x = 30,763.68

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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.