Home / 1,928.68-2,892.80-542.13

Finding the Fourth Proportional to 1,928.68, 2,892.80 and 542.13

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Solution

The fourth proportional to 1,928.68, 2,892.80 and 542.13 is: 813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.68 : 2,892.80 = 542.13 : x
  2. Step 2: Convert to fraction form
    1,928.68/2,892.80 = 542.13/x
  3. Step 3: Cross multiply
    1,928.68x = 2,892.80 × 542.13
  4. Step 4: Simplify right side
    1,928.68x = 1,568,273.66
  5. Step 5: Solve for x
    x = 1,568,273.66/1,928.68
  6. Step 6: Final answer
    x = 813.13

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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.