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Finding the Fourth Proportional to 1,724.29, 2,380.86 and 1,325.32

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Solution

The fourth proportional to 1,724.29, 2,380.86 and 1,325.32 is: 1,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.29 : 2,380.86 = 1,325.32 : x
  2. Step 2: Convert to fraction form
    1,724.29/2,380.86 = 1,325.32/x
  3. Step 3: Cross multiply
    1,724.29x = 2,380.86 × 1,325.32
  4. Step 4: Simplify right side
    1,724.29x = 3,155,401.38
  5. Step 5: Solve for x
    x = 3,155,401.38/1,724.29
  6. Step 6: Final answer
    x = 1,829.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.