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Finding the Fourth Proportional to 2,774.97, 4,152.02 and 1,543.28

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Solution

The fourth proportional to 2,774.97, 4,152.02 and 1,543.28 is: 2,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.97 : 4,152.02 = 1,543.28 : x
  2. Step 2: Convert to fraction form
    2,774.97/4,152.02 = 1,543.28/x
  3. Step 3: Cross multiply
    2,774.97x = 4,152.02 × 1,543.28
  4. Step 4: Simplify right side
    2,774.97x = 6,407,700.95
  5. Step 5: Solve for x
    x = 6,407,700.95/2,774.97
  6. Step 6: Final answer
    x = 2,309.11

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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.