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Finding the Fourth Proportional to 2,672.57, 3,688.14 and 1,493.64

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Solution

The fourth proportional to 2,672.57, 3,688.14 and 1,493.64 is: 2,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.57 : 3,688.14 = 1,493.64 : x
  2. Step 2: Convert to fraction form
    2,672.57/3,688.14 = 1,493.64/x
  3. Step 3: Cross multiply
    2,672.57x = 3,688.14 × 1,493.64
  4. Step 4: Simplify right side
    2,672.57x = 5,508,753.43
  5. Step 5: Solve for x
    x = 5,508,753.43/2,672.57
  6. Step 6: Final answer
    x = 2,061.22

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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.