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Finding the Fourth Proportional to 1,049.38, 1,572.36 and 1,009.42

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Solution

The fourth proportional to 1,049.38, 1,572.36 and 1,009.42 is: 1,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.38 : 1,572.36 = 1,009.42 : x
  2. Step 2: Convert to fraction form
    1,049.38/1,572.36 = 1,009.42/x
  3. Step 3: Cross multiply
    1,049.38x = 1,572.36 × 1,009.42
  4. Step 4: Simplify right side
    1,049.38x = 1,587,171.63
  5. Step 5: Solve for x
    x = 1,587,171.63/1,049.38
  6. Step 6: Final answer
    x = 1,512.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.