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Finding the Fourth Proportional to 1,801.10, 2,700.15 and 761.90

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Solution

The fourth proportional to 1,801.10, 2,700.15 and 761.90 is: 1,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.10 : 2,700.15 = 761.90 : x
  2. Step 2: Convert to fraction form
    1,801.10/2,700.15 = 761.90/x
  3. Step 3: Cross multiply
    1,801.10x = 2,700.15 × 761.90
  4. Step 4: Simplify right side
    1,801.10x = 2,057,244.29
  5. Step 5: Solve for x
    x = 2,057,244.29/1,801.10
  6. Step 6: Final answer
    x = 1,142.22

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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.