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Finding the Fourth Proportional to 1,310.10, 1,960.48 and 962.61

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Solution

The fourth proportional to 1,310.10, 1,960.48 and 962.61 is: 1,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.10 : 1,960.48 = 962.61 : x
  2. Step 2: Convert to fraction form
    1,310.10/1,960.48 = 962.61/x
  3. Step 3: Cross multiply
    1,310.10x = 1,960.48 × 962.61
  4. Step 4: Simplify right side
    1,310.10x = 1,887,177.65
  5. Step 5: Solve for x
    x = 1,887,177.65/1,310.10
  6. Step 6: Final answer
    x = 1,440.48

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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.