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Finding the Fourth Proportional to 3,542.28, 5,309.04 and 1,461

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Solution

The fourth proportional to 3,542.28, 5,309.04 and 1,461 is: 2,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.28 : 5,309.04 = 1,461 : x
  2. Step 2: Convert to fraction form
    3,542.28/5,309.04 = 1,461/x
  3. Step 3: Cross multiply
    3,542.28x = 5,309.04 × 1,461
  4. Step 4: Simplify right side
    3,542.28x = 7,756,507.44
  5. Step 5: Solve for x
    x = 7,756,507.44/3,542.28
  6. Step 6: Final answer
    x = 2,189.69

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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.