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Finding the Fourth Proportional to 20,654.64, 30,962.52 and 10,256.40

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Solution

The fourth proportional to 20,654.64, 30,962.52 and 10,256.40 is: 15,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.64 : 30,962.52 = 10,256.40 : x
  2. Step 2: Convert to fraction form
    20,654.64/30,962.52 = 10,256.40/x
  3. Step 3: Cross multiply
    20,654.64x = 30,962.52 × 10,256.40
  4. Step 4: Simplify right side
    20,654.64x = 317,563,990.13
  5. Step 5: Solve for x
    x = 317,563,990.13/20,654.64
  6. Step 6: Final answer
    x = 15,374.95

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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.