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Finding the Fourth Proportional to 2,399.46, 3,589.29 and 1,913.46

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Solution

The fourth proportional to 2,399.46, 3,589.29 and 1,913.46 is: 2,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.46 : 3,589.29 = 1,913.46 : x
  2. Step 2: Convert to fraction form
    2,399.46/3,589.29 = 1,913.46/x
  3. Step 3: Cross multiply
    2,399.46x = 3,589.29 × 1,913.46
  4. Step 4: Simplify right side
    2,399.46x = 6,867,962.84
  5. Step 5: Solve for x
    x = 6,867,962.84/2,399.46
  6. Step 6: Final answer
    x = 2,862.30

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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.