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Finding the Fourth Proportional to 3,546.79, 4,891.80 and 3,080.23

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Solution

The fourth proportional to 3,546.79, 4,891.80 and 3,080.23 is: 4,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.79 : 4,891.80 = 3,080.23 : x
  2. Step 2: Convert to fraction form
    3,546.79/4,891.80 = 3,080.23/x
  3. Step 3: Cross multiply
    3,546.79x = 4,891.80 × 3,080.23
  4. Step 4: Simplify right side
    3,546.79x = 15,067,869.11
  5. Step 5: Solve for x
    x = 15,067,869.11/3,546.79
  6. Step 6: Final answer
    x = 4,248.31

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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.