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Finding the Fourth Proportional to 2,543.00, 3,509.24 and 1,423.88

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Solution

The fourth proportional to 2,543.00, 3,509.24 and 1,423.88 is: 1,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.00 : 3,509.24 = 1,423.88 : x
  2. Step 2: Convert to fraction form
    2,543.00/3,509.24 = 1,423.88/x
  3. Step 3: Cross multiply
    2,543.00x = 3,509.24 × 1,423.88
  4. Step 4: Simplify right side
    2,543.00x = 4,996,726.62
  5. Step 5: Solve for x
    x = 4,996,726.62/2,543.00
  6. Step 6: Final answer
    x = 1,964.90

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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.