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Finding the Fourth Proportional to 2,345.65, 3,517.17 and 959.96

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Solution

The fourth proportional to 2,345.65, 3,517.17 and 959.96 is: 1,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.65 : 3,517.17 = 959.96 : x
  2. Step 2: Convert to fraction form
    2,345.65/3,517.17 = 959.96/x
  3. Step 3: Cross multiply
    2,345.65x = 3,517.17 × 959.96
  4. Step 4: Simplify right side
    2,345.65x = 3,376,320.13
  5. Step 5: Solve for x
    x = 3,376,320.13/2,345.65
  6. Step 6: Final answer
    x = 1,439.40

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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.