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Finding the Fourth Proportional to 1,540.91, 2,126.45 and 842.29

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Solution

The fourth proportional to 1,540.91, 2,126.45 and 842.29 is: 1,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.91 : 2,126.45 = 842.29 : x
  2. Step 2: Convert to fraction form
    1,540.91/2,126.45 = 842.29/x
  3. Step 3: Cross multiply
    1,540.91x = 2,126.45 × 842.29
  4. Step 4: Simplify right side
    1,540.91x = 1,791,072.73
  5. Step 5: Solve for x
    x = 1,791,072.73/1,540.91
  6. Step 6: Final answer
    x = 1,162.35

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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.