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Finding the Fourth Proportional to 5,691.66, 7,854.89 and 3,453.63

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Solution

The fourth proportional to 5,691.66, 7,854.89 and 3,453.63 is: 4,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.66 : 7,854.89 = 3,453.63 : x
  2. Step 2: Convert to fraction form
    5,691.66/7,854.89 = 3,453.63/x
  3. Step 3: Cross multiply
    5,691.66x = 7,854.89 × 3,453.63
  4. Step 4: Simplify right side
    5,691.66x = 27,127,866.48
  5. Step 5: Solve for x
    x = 27,127,866.48/5,691.66
  6. Step 6: Final answer
    x = 4,766.25

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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.