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Finding the Fourth Proportional to 5,248.65, 7,872.69 and 1,961.49

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Solution

The fourth proportional to 5,248.65, 7,872.69 and 1,961.49 is: 2,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.65 : 7,872.69 = 1,961.49 : x
  2. Step 2: Convert to fraction form
    5,248.65/7,872.69 = 1,961.49/x
  3. Step 3: Cross multiply
    5,248.65x = 7,872.69 × 1,961.49
  4. Step 4: Simplify right side
    5,248.65x = 15,442,202.71
  5. Step 5: Solve for x
    x = 15,442,202.71/5,248.65
  6. Step 6: Final answer
    x = 2,942.13

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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.