Home / 3,981.40-5,972.10-1,382.50

Finding the Fourth Proportional to 3,981.40, 5,972.10 and 1,382.50

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Solution

The fourth proportional to 3,981.40, 5,972.10 and 1,382.50 is: 2,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.40 : 5,972.10 = 1,382.50 : x
  2. Step 2: Convert to fraction form
    3,981.40/5,972.10 = 1,382.50/x
  3. Step 3: Cross multiply
    3,981.40x = 5,972.10 × 1,382.50
  4. Step 4: Simplify right side
    3,981.40x = 8,256,428.25
  5. Step 5: Solve for x
    x = 8,256,428.25/3,981.40
  6. Step 6: Final answer
    x = 2,073.75

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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.