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Finding the Fourth Proportional to 3,854.88, 5,782.32 and 1,257.76

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Solution

The fourth proportional to 3,854.88, 5,782.32 and 1,257.76 is: 1,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.88 : 5,782.32 = 1,257.76 : x
  2. Step 2: Convert to fraction form
    3,854.88/5,782.32 = 1,257.76/x
  3. Step 3: Cross multiply
    3,854.88x = 5,782.32 × 1,257.76
  4. Step 4: Simplify right side
    3,854.88x = 7,272,770.80
  5. Step 5: Solve for x
    x = 7,272,770.80/3,854.88
  6. Step 6: Final answer
    x = 1,886.64

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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.