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Finding the Fourth Proportional to 2,124.70, 2,932.07 and 1,180.61

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Solution

The fourth proportional to 2,124.70, 2,932.07 and 1,180.61 is: 1,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.70 : 2,932.07 = 1,180.61 : x
  2. Step 2: Convert to fraction form
    2,124.70/2,932.07 = 1,180.61/x
  3. Step 3: Cross multiply
    2,124.70x = 2,932.07 × 1,180.61
  4. Step 4: Simplify right side
    2,124.70x = 3,461,621.59
  5. Step 5: Solve for x
    x = 3,461,621.59/2,124.70
  6. Step 6: Final answer
    x = 1,629.23

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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.