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Finding the Fourth Proportional to 1,428.52, 1,966.62 and 1,253.80

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Solution

The fourth proportional to 1,428.52, 1,966.62 and 1,253.80 is: 1,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.52 : 1,966.62 = 1,253.80 : x
  2. Step 2: Convert to fraction form
    1,428.52/1,966.62 = 1,253.80/x
  3. Step 3: Cross multiply
    1,428.52x = 1,966.62 × 1,253.80
  4. Step 4: Simplify right side
    1,428.52x = 2,465,748.16
  5. Step 5: Solve for x
    x = 2,465,748.16/1,428.52
  6. Step 6: Final answer
    x = 1,726.09

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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.