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Finding the Fourth Proportional to 1,402.56, 1,934.40 and 1,029.12

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Solution

The fourth proportional to 1,402.56, 1,934.40 and 1,029.12 is: 1,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.56 : 1,934.40 = 1,029.12 : x
  2. Step 2: Convert to fraction form
    1,402.56/1,934.40 = 1,029.12/x
  3. Step 3: Cross multiply
    1,402.56x = 1,934.40 × 1,029.12
  4. Step 4: Simplify right side
    1,402.56x = 1,990,729.73
  5. Step 5: Solve for x
    x = 1,990,729.73/1,402.56
  6. Step 6: Final answer
    x = 1,419.35

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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.