Home / 1,542.82-2,126.64-1,010.74

Finding the Fourth Proportional to 1,542.82, 2,126.64 and 1,010.74

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Solution

The fourth proportional to 1,542.82, 2,126.64 and 1,010.74 is: 1,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.82 : 2,126.64 = 1,010.74 : x
  2. Step 2: Convert to fraction form
    1,542.82/2,126.64 = 1,010.74/x
  3. Step 3: Cross multiply
    1,542.82x = 2,126.64 × 1,010.74
  4. Step 4: Simplify right side
    1,542.82x = 2,149,480.11
  5. Step 5: Solve for x
    x = 2,149,480.11/1,542.82
  6. Step 6: Final answer
    x = 1,393.22

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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.