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Finding the Fourth Proportional to 3,454.64, 5,177.64 and 1,723.76

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Solution

The fourth proportional to 3,454.64, 5,177.64 and 1,723.76 is: 2,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.64 : 5,177.64 = 1,723.76 : x
  2. Step 2: Convert to fraction form
    3,454.64/5,177.64 = 1,723.76/x
  3. Step 3: Cross multiply
    3,454.64x = 5,177.64 × 1,723.76
  4. Step 4: Simplify right side
    3,454.64x = 8,925,008.73
  5. Step 5: Solve for x
    x = 8,925,008.73/3,454.64
  6. Step 6: Final answer
    x = 2,583.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.