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Finding the Fourth Proportional to 3,129, 4,693.50 and 1,180.76

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Solution

The fourth proportional to 3,129, 4,693.50 and 1,180.76 is: 1,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 4,693.50 = 1,180.76 : x
  2. Step 2: Convert to fraction form
    3,129/4,693.50 = 1,180.76/x
  3. Step 3: Cross multiply
    3,129x = 4,693.50 × 1,180.76
  4. Step 4: Simplify right side
    3,129x = 5,541,873.59
  5. Step 5: Solve for x
    x = 5,541,873.59/3,129
  6. Step 6: Final answer
    x = 1,771.13

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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.