Home / 1,542.32-2,312.41-801.47

Finding the Fourth Proportional to 1,542.32, 2,312.41 and 801.47

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Solution

The fourth proportional to 1,542.32, 2,312.41 and 801.47 is: 1,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.32 : 2,312.41 = 801.47 : x
  2. Step 2: Convert to fraction form
    1,542.32/2,312.41 = 801.47/x
  3. Step 3: Cross multiply
    1,542.32x = 2,312.41 × 801.47
  4. Step 4: Simplify right side
    1,542.32x = 1,853,327.24
  5. Step 5: Solve for x
    x = 1,853,327.24/1,542.32
  6. Step 6: Final answer
    x = 1,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.