Home / 1,542.14-2,128.13-921.02

Finding the Fourth Proportional to 1,542.14, 2,128.13 and 921.02

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Solution

The fourth proportional to 1,542.14, 2,128.13 and 921.02 is: 1,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.14 : 2,128.13 = 921.02 : x
  2. Step 2: Convert to fraction form
    1,542.14/2,128.13 = 921.02/x
  3. Step 3: Cross multiply
    1,542.14x = 2,128.13 × 921.02
  4. Step 4: Simplify right side
    1,542.14x = 1,960,050.29
  5. Step 5: Solve for x
    x = 1,960,050.29/1,542.14
  6. Step 6: Final answer
    x = 1,270.99

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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.