Home / 1,841.23-2,761.89-542.80

Finding the Fourth Proportional to 1,841.23, 2,761.89 and 542.80

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Solution

The fourth proportional to 1,841.23, 2,761.89 and 542.80 is: 814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.23 : 2,761.89 = 542.80 : x
  2. Step 2: Convert to fraction form
    1,841.23/2,761.89 = 542.80/x
  3. Step 3: Cross multiply
    1,841.23x = 2,761.89 × 542.80
  4. Step 4: Simplify right side
    1,841.23x = 1,499,153.89
  5. Step 5: Solve for x
    x = 1,499,153.89/1,841.23
  6. Step 6: Final answer
    x = 814.21

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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.