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Finding the Fourth Proportional to 3,123.78, 4,310.76 and 1,726.50

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Solution

The fourth proportional to 3,123.78, 4,310.76 and 1,726.50 is: 2,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.78 : 4,310.76 = 1,726.50 : x
  2. Step 2: Convert to fraction form
    3,123.78/4,310.76 = 1,726.50/x
  3. Step 3: Cross multiply
    3,123.78x = 4,310.76 × 1,726.50
  4. Step 4: Simplify right side
    3,123.78x = 7,442,527.14
  5. Step 5: Solve for x
    x = 7,442,527.14/3,123.78
  6. Step 6: Final answer
    x = 2,382.54

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1.5x scale

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.