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Finding the Fourth Proportional to 1,686.56, 2,324.76 and 1,125.92

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Solution

The fourth proportional to 1,686.56, 2,324.76 and 1,125.92 is: 1,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.56 : 2,324.76 = 1,125.92 : x
  2. Step 2: Convert to fraction form
    1,686.56/2,324.76 = 1,125.92/x
  3. Step 3: Cross multiply
    1,686.56x = 2,324.76 × 1,125.92
  4. Step 4: Simplify right side
    1,686.56x = 2,617,493.78
  5. Step 5: Solve for x
    x = 2,617,493.78/1,686.56
  6. Step 6: Final answer
    x = 1,551.97

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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.