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Finding the Fourth Proportional to 1,691.76, 2,525.46 and 1,473

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Solution

The fourth proportional to 1,691.76, 2,525.46 and 1,473 is: 2,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,525.46 = 1,473 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,525.46 = 1,473/x
  3. Step 3: Cross multiply
    1,691.76x = 2,525.46 × 1,473
  4. Step 4: Simplify right side
    1,691.76x = 3,720,002.58
  5. Step 5: Solve for x
    x = 3,720,002.58/1,691.76
  6. Step 6: Final answer
    x = 2,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.