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Finding the Fourth Proportional to 5,466, 7,543.12 and 2,982

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Solution

The fourth proportional to 5,466, 7,543.12 and 2,982 is: 4,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466 : 7,543.12 = 2,982 : x
  2. Step 2: Convert to fraction form
    5,466/7,543.12 = 2,982/x
  3. Step 3: Cross multiply
    5,466x = 7,543.12 × 2,982
  4. Step 4: Simplify right side
    5,466x = 22,493,583.84
  5. Step 5: Solve for x
    x = 22,493,583.84/5,466
  6. Step 6: Final answer
    x = 4,115.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.