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Finding the Fourth Proportional to 3,129, 4,691.68 and 1,373.93

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Solution

The fourth proportional to 3,129, 4,691.68 and 1,373.93 is: 2,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 4,691.68 = 1,373.93 : x
  2. Step 2: Convert to fraction form
    3,129/4,691.68 = 1,373.93/x
  3. Step 3: Cross multiply
    3,129x = 4,691.68 × 1,373.93
  4. Step 4: Simplify right side
    3,129x = 6,446,048.20
  5. Step 5: Solve for x
    x = 6,446,048.20/3,129
  6. Step 6: Final answer
    x = 2,060.10

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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.