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Finding the Fourth Proportional to 6,654.20, 9,982.40 and 2,271.20

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Solution

The fourth proportional to 6,654.20, 9,982.40 and 2,271.20 is: 3,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.20 : 9,982.40 = 2,271.20 : x
  2. Step 2: Convert to fraction form
    6,654.20/9,982.40 = 2,271.20/x
  3. Step 3: Cross multiply
    6,654.20x = 9,982.40 × 2,271.20
  4. Step 4: Simplify right side
    6,654.20x = 22,672,026.88
  5. Step 5: Solve for x
    x = 22,672,026.88/6,654.20
  6. Step 6: Final answer
    x = 3,407.18

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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.