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Finding the Fourth Proportional to 1,321.38, 1,822.50 and 1,242.90

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Solution

The fourth proportional to 1,321.38, 1,822.50 and 1,242.90 is: 1,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.38 : 1,822.50 = 1,242.90 : x
  2. Step 2: Convert to fraction form
    1,321.38/1,822.50 = 1,242.90/x
  3. Step 3: Cross multiply
    1,321.38x = 1,822.50 × 1,242.90
  4. Step 4: Simplify right side
    1,321.38x = 2,265,185.25
  5. Step 5: Solve for x
    x = 2,265,185.25/1,321.38
  6. Step 6: Final answer
    x = 1,714.26

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1.5x scale

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.