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Finding the Fourth Proportional to 1,642.86, 2,454.03 and 1,229.76

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Solution

The fourth proportional to 1,642.86, 2,454.03 and 1,229.76 is: 1,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.86 : 2,454.03 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    1,642.86/2,454.03 = 1,229.76/x
  3. Step 3: Cross multiply
    1,642.86x = 2,454.03 × 1,229.76
  4. Step 4: Simplify right side
    1,642.86x = 3,017,867.93
  5. Step 5: Solve for x
    x = 3,017,867.93/1,642.86
  6. Step 6: Final answer
    x = 1,836.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.