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Finding the Fourth Proportional to 2,572.27, 3,858.13 and 723.44

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Solution

The fourth proportional to 2,572.27, 3,858.13 and 723.44 is: 1,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.27 : 3,858.13 = 723.44 : x
  2. Step 2: Convert to fraction form
    2,572.27/3,858.13 = 723.44/x
  3. Step 3: Cross multiply
    2,572.27x = 3,858.13 × 723.44
  4. Step 4: Simplify right side
    2,572.27x = 2,791,125.57
  5. Step 5: Solve for x
    x = 2,791,125.57/2,572.27
  6. Step 6: Final answer
    x = 1,085.08

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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.