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Finding the Fourth Proportional to 2,543.80, 3,510.87 and 1,549.47

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Solution

The fourth proportional to 2,543.80, 3,510.87 and 1,549.47 is: 2,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.80 : 3,510.87 = 1,549.47 : x
  2. Step 2: Convert to fraction form
    2,543.80/3,510.87 = 1,549.47/x
  3. Step 3: Cross multiply
    2,543.80x = 3,510.87 × 1,549.47
  4. Step 4: Simplify right side
    2,543.80x = 5,439,970.18
  5. Step 5: Solve for x
    x = 5,439,970.18/2,543.80
  6. Step 6: Final answer
    x = 2,138.52

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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.