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Finding the Fourth Proportional to 1,248.11, 1,864.39 and 924.11

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Solution

The fourth proportional to 1,248.11, 1,864.39 and 924.11 is: 1,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.11 : 1,864.39 = 924.11 : x
  2. Step 2: Convert to fraction form
    1,248.11/1,864.39 = 924.11/x
  3. Step 3: Cross multiply
    1,248.11x = 1,864.39 × 924.11
  4. Step 4: Simplify right side
    1,248.11x = 1,722,901.44
  5. Step 5: Solve for x
    x = 1,722,901.44/1,248.11
  6. Step 6: Final answer
    x = 1,380.41

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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.