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Finding the Fourth Proportional to 1,540.75, 2,126.28 and 842.17

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Solution

The fourth proportional to 1,540.75, 2,126.28 and 842.17 is: 1,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.75 : 2,126.28 = 842.17 : x
  2. Step 2: Convert to fraction form
    1,540.75/2,126.28 = 842.17/x
  3. Step 3: Cross multiply
    1,540.75x = 2,126.28 × 842.17
  4. Step 4: Simplify right side
    1,540.75x = 1,790,689.23
  5. Step 5: Solve for x
    x = 1,790,689.23/1,540.75
  6. Step 6: Final answer
    x = 1,162.22

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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.