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Finding the Fourth Proportional to 1,761.17, 2,642.03 and 1,542.47

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Solution

The fourth proportional to 1,761.17, 2,642.03 and 1,542.47 is: 2,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.17 : 2,642.03 = 1,542.47 : x
  2. Step 2: Convert to fraction form
    1,761.17/2,642.03 = 1,542.47/x
  3. Step 3: Cross multiply
    1,761.17x = 2,642.03 × 1,542.47
  4. Step 4: Simplify right side
    1,761.17x = 4,075,244.30
  5. Step 5: Solve for x
    x = 4,075,244.30/1,761.17
  6. Step 6: Final answer
    x = 2,313.94

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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.