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Finding the Fourth Proportional to 1,988.12, 2,978.36 and 1,543.72

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Solution

The fourth proportional to 1,988.12, 2,978.36 and 1,543.72 is: 2,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.12 : 2,978.36 = 1,543.72 : x
  2. Step 2: Convert to fraction form
    1,988.12/2,978.36 = 1,543.72/x
  3. Step 3: Cross multiply
    1,988.12x = 2,978.36 × 1,543.72
  4. Step 4: Simplify right side
    1,988.12x = 4,597,753.90
  5. Step 5: Solve for x
    x = 4,597,753.90/1,988.12
  6. Step 6: Final answer
    x = 2,312.61

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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.