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Finding the Fourth Proportional to 2,167.08, 2,987.46 and 1,545

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Solution

The fourth proportional to 2,167.08, 2,987.46 and 1,545 is: 2,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.08 : 2,987.46 = 1,545 : x
  2. Step 2: Convert to fraction form
    2,167.08/2,987.46 = 1,545/x
  3. Step 3: Cross multiply
    2,167.08x = 2,987.46 × 1,545
  4. Step 4: Simplify right side
    2,167.08x = 4,615,625.70
  5. Step 5: Solve for x
    x = 4,615,625.70/2,167.08
  6. Step 6: Final answer
    x = 2,129.88

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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.