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Finding the Fourth Proportional to 3,713.68, 5,122.68 and 2,140.66

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Solution

The fourth proportional to 3,713.68, 5,122.68 and 2,140.66 is: 2,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.68 : 5,122.68 = 2,140.66 : x
  2. Step 2: Convert to fraction form
    3,713.68/5,122.68 = 2,140.66/x
  3. Step 3: Cross multiply
    3,713.68x = 5,122.68 × 2,140.66
  4. Step 4: Simplify right side
    3,713.68x = 10,965,916.17
  5. Step 5: Solve for x
    x = 10,965,916.17/3,713.68
  6. Step 6: Final answer
    x = 2,952.84

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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.