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Finding the Fourth Proportional to 1,841.02, 2,761.44 and 542.44

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Solution

The fourth proportional to 1,841.02, 2,761.44 and 542.44 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.02 : 2,761.44 = 542.44 : x
  2. Step 2: Convert to fraction form
    1,841.02/2,761.44 = 542.44/x
  3. Step 3: Cross multiply
    1,841.02x = 2,761.44 × 542.44
  4. Step 4: Simplify right side
    1,841.02x = 1,497,915.51
  5. Step 5: Solve for x
    x = 1,497,915.51/1,841.02
  6. Step 6: Final answer
    x = 813.63

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1.5x scale

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.