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Finding the Fourth Proportional to 7,129.65, 10,694.47 and 3,863.50

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Solution

The fourth proportional to 7,129.65, 10,694.47 and 3,863.50 is: 5,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.65 : 10,694.47 = 3,863.50 : x
  2. Step 2: Convert to fraction form
    7,129.65/10,694.47 = 3,863.50/x
  3. Step 3: Cross multiply
    7,129.65x = 10,694.47 × 3,863.50
  4. Step 4: Simplify right side
    7,129.65x = 41,318,084.85
  5. Step 5: Solve for x
    x = 41,318,084.85/7,129.65
  6. Step 6: Final answer
    x = 5,795.25

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1.5x scale

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.