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Finding the Fourth Proportional to 2,570.48, 3,855.20 and 721.68

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Solution

The fourth proportional to 2,570.48, 3,855.20 and 721.68 is: 1,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.48 : 3,855.20 = 721.68 : x
  2. Step 2: Convert to fraction form
    2,570.48/3,855.20 = 721.68/x
  3. Step 3: Cross multiply
    2,570.48x = 3,855.20 × 721.68
  4. Step 4: Simplify right side
    2,570.48x = 2,782,220.74
  5. Step 5: Solve for x
    x = 2,782,220.74/2,570.48
  6. Step 6: Final answer
    x = 1,082.37

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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.