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Finding the Fourth Proportional to 2,309.88, 3,464.14 and 849.15

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Solution

The fourth proportional to 2,309.88, 3,464.14 and 849.15 is: 1,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.88 : 3,464.14 = 849.15 : x
  2. Step 2: Convert to fraction form
    2,309.88/3,464.14 = 849.15/x
  3. Step 3: Cross multiply
    2,309.88x = 3,464.14 × 849.15
  4. Step 4: Simplify right side
    2,309.88x = 2,941,574.48
  5. Step 5: Solve for x
    x = 2,941,574.48/2,309.88
  6. Step 6: Final answer
    x = 1,273.48

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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.