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Finding the Fourth Proportional to 2,599.13, 3,900.90 and 1,040.23

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Solution

The fourth proportional to 2,599.13, 3,900.90 and 1,040.23 is: 1,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.13 : 3,900.90 = 1,040.23 : x
  2. Step 2: Convert to fraction form
    2,599.13/3,900.90 = 1,040.23/x
  3. Step 3: Cross multiply
    2,599.13x = 3,900.90 × 1,040.23
  4. Step 4: Simplify right side
    2,599.13x = 4,057,833.21
  5. Step 5: Solve for x
    x = 4,057,833.21/2,599.13
  6. Step 6: Final answer
    x = 1,561.23

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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.