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Finding the Fourth Proportional to 25,685.20, 38,491.80 and 20,429.20

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Solution

The fourth proportional to 25,685.20, 38,491.80 and 20,429.20 is: 30,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.20 : 38,491.80 = 20,429.20 : x
  2. Step 2: Convert to fraction form
    25,685.20/38,491.80 = 20,429.20/x
  3. Step 3: Cross multiply
    25,685.20x = 38,491.80 × 20,429.20
  4. Step 4: Simplify right side
    25,685.20x = 786,356,680.56
  5. Step 5: Solve for x
    x = 786,356,680.56/25,685.20
  6. Step 6: Final answer
    x = 30,615.17

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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.