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Finding the Fourth Proportional to 8,654.40, 12,982.40 and 3,459.20

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Solution

The fourth proportional to 8,654.40, 12,982.40 and 3,459.20 is: 5,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.40 : 12,982.40 = 3,459.20 : x
  2. Step 2: Convert to fraction form
    8,654.40/12,982.40 = 3,459.20/x
  3. Step 3: Cross multiply
    8,654.40x = 12,982.40 × 3,459.20
  4. Step 4: Simplify right side
    8,654.40x = 44,908,718.08
  5. Step 5: Solve for x
    x = 44,908,718.08/8,654.40
  6. Step 6: Final answer
    x = 5,189.12

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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.