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Finding the Fourth Proportional to 3,107.97, 4,289 and 1,710.72

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Solution

The fourth proportional to 3,107.97, 4,289 and 1,710.72 is: 2,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.97 : 4,289 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    3,107.97/4,289 = 1,710.72/x
  3. Step 3: Cross multiply
    3,107.97x = 4,289 × 1,710.72
  4. Step 4: Simplify right side
    3,107.97x = 7,337,278.08
  5. Step 5: Solve for x
    x = 7,337,278.08/3,107.97
  6. Step 6: Final answer
    x = 2,360.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.