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Finding the Fourth Proportional to 2,332, 3,498 and 1,177.75

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Solution

The fourth proportional to 2,332, 3,498 and 1,177.75 is: 1,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,498 = 1,177.75 : x
  2. Step 2: Convert to fraction form
    2,332/3,498 = 1,177.75/x
  3. Step 3: Cross multiply
    2,332x = 3,498 × 1,177.75
  4. Step 4: Simplify right side
    2,332x = 4,119,769.50
  5. Step 5: Solve for x
    x = 4,119,769.50/2,332
  6. Step 6: Final answer
    x = 1,766.63

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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.