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Finding the Fourth Proportional to 2,573.72, 3,860.10 and 724.38

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Solution

The fourth proportional to 2,573.72, 3,860.10 and 724.38 is: 1,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.72 : 3,860.10 = 724.38 : x
  2. Step 2: Convert to fraction form
    2,573.72/3,860.10 = 724.38/x
  3. Step 3: Cross multiply
    2,573.72x = 3,860.10 × 724.38
  4. Step 4: Simplify right side
    2,573.72x = 2,796,179.24
  5. Step 5: Solve for x
    x = 2,796,179.24/2,573.72
  6. Step 6: Final answer
    x = 1,086.44

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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.