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Finding the Fourth Proportional to 3,502.65, 5,253.54 and 1,310.79

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Solution

The fourth proportional to 3,502.65, 5,253.54 and 1,310.79 is: 1,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.65 : 5,253.54 = 1,310.79 : x
  2. Step 2: Convert to fraction form
    3,502.65/5,253.54 = 1,310.79/x
  3. Step 3: Cross multiply
    3,502.65x = 5,253.54 × 1,310.79
  4. Step 4: Simplify right side
    3,502.65x = 6,886,287.70
  5. Step 5: Solve for x
    x = 6,886,287.70/3,502.65
  6. Step 6: Final answer
    x = 1,966.02

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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.