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Finding the Fourth Proportional to 1,540.64, 2,126.14 and 842

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Solution

The fourth proportional to 1,540.64, 2,126.14 and 842 is: 1,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,126.14 = 842 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,126.14 = 842/x
  3. Step 3: Cross multiply
    1,540.64x = 2,126.14 × 842
  4. Step 4: Simplify right side
    1,540.64x = 1,790,209.88
  5. Step 5: Solve for x
    x = 1,790,209.88/1,540.64
  6. Step 6: Final answer
    x = 1,161.99

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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.