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Finding the Fourth Proportional to 2,572.99, 3,860.13 and 1,402.72

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Solution

The fourth proportional to 2,572.99, 3,860.13 and 1,402.72 is: 2,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.99 : 3,860.13 = 1,402.72 : x
  2. Step 2: Convert to fraction form
    2,572.99/3,860.13 = 1,402.72/x
  3. Step 3: Cross multiply
    2,572.99x = 3,860.13 × 1,402.72
  4. Step 4: Simplify right side
    2,572.99x = 5,414,673.22
  5. Step 5: Solve for x
    x = 5,414,673.22/2,572.99
  6. Step 6: Final answer
    x = 2,104.43

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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.