Home / 1,542.64-2,128.82-921.52

Finding the Fourth Proportional to 1,542.64, 2,128.82 and 921.52

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Solution

The fourth proportional to 1,542.64, 2,128.82 and 921.52 is: 1,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.64 : 2,128.82 = 921.52 : x
  2. Step 2: Convert to fraction form
    1,542.64/2,128.82 = 921.52/x
  3. Step 3: Cross multiply
    1,542.64x = 2,128.82 × 921.52
  4. Step 4: Simplify right side
    1,542.64x = 1,961,750.21
  5. Step 5: Solve for x
    x = 1,961,750.21/1,542.64
  6. Step 6: Final answer
    x = 1,271.68

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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.