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Finding the Fourth Proportional to 2,400.72, 3,598 and 1,302.80

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Solution

The fourth proportional to 2,400.72, 3,598 and 1,302.80 is: 1,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.72 : 3,598 = 1,302.80 : x
  2. Step 2: Convert to fraction form
    2,400.72/3,598 = 1,302.80/x
  3. Step 3: Cross multiply
    2,400.72x = 3,598 × 1,302.80
  4. Step 4: Simplify right side
    2,400.72x = 4,687,474.40
  5. Step 5: Solve for x
    x = 4,687,474.40/2,400.72
  6. Step 6: Final answer
    x = 1,952.53

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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.