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Finding the Fourth Proportional to 1,724.32, 2,380.70 and 1,325.27

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Solution

The fourth proportional to 1,724.32, 2,380.70 and 1,325.27 is: 1,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.32 : 2,380.70 = 1,325.27 : x
  2. Step 2: Convert to fraction form
    1,724.32/2,380.70 = 1,325.27/x
  3. Step 3: Cross multiply
    1,724.32x = 2,380.70 × 1,325.27
  4. Step 4: Simplify right side
    1,724.32x = 3,155,070.29
  5. Step 5: Solve for x
    x = 3,155,070.29/1,724.32
  6. Step 6: Final answer
    x = 1,829.75

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