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Finding the Fourth Proportional to 3,129.39, 4,694.08 and 1,049

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Solution

The fourth proportional to 3,129.39, 4,694.08 and 1,049 is: 1,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.39 : 4,694.08 = 1,049 : x
  2. Step 2: Convert to fraction form
    3,129.39/4,694.08 = 1,049/x
  3. Step 3: Cross multiply
    3,129.39x = 4,694.08 × 1,049
  4. Step 4: Simplify right side
    3,129.39x = 4,924,089.92
  5. Step 5: Solve for x
    x = 4,924,089.92/3,129.39
  6. Step 6: Final answer
    x = 1,573.50

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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.