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Finding the Fourth Proportional to 1,967.50, 2,715.21 and 1,083.22

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Solution

The fourth proportional to 1,967.50, 2,715.21 and 1,083.22 is: 1,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.50 : 2,715.21 = 1,083.22 : x
  2. Step 2: Convert to fraction form
    1,967.50/2,715.21 = 1,083.22/x
  3. Step 3: Cross multiply
    1,967.50x = 2,715.21 × 1,083.22
  4. Step 4: Simplify right side
    1,967.50x = 2,941,169.78
  5. Step 5: Solve for x
    x = 2,941,169.78/1,967.50
  6. Step 6: Final answer
    x = 1,494.88

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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.