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Finding the Fourth Proportional to 5,115.91, 7,680.71 and 4,949.84

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Solution

The fourth proportional to 5,115.91, 7,680.71 and 4,949.84 is: 7,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.91 : 7,680.71 = 4,949.84 : x
  2. Step 2: Convert to fraction form
    5,115.91/7,680.71 = 4,949.84/x
  3. Step 3: Cross multiply
    5,115.91x = 7,680.71 × 4,949.84
  4. Step 4: Simplify right side
    5,115.91x = 38,018,260.84
  5. Step 5: Solve for x
    x = 38,018,260.84/5,115.91
  6. Step 6: Final answer
    x = 7,431.38

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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.