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Finding the Fourth Proportional to 5,278.70, 7,920.78 and 3,829.81

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Solution

The fourth proportional to 5,278.70, 7,920.78 and 3,829.81 is: 5,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.70 : 7,920.78 = 3,829.81 : x
  2. Step 2: Convert to fraction form
    5,278.70/7,920.78 = 3,829.81/x
  3. Step 3: Cross multiply
    5,278.70x = 7,920.78 × 3,829.81
  4. Step 4: Simplify right side
    5,278.70x = 30,335,082.45
  5. Step 5: Solve for x
    x = 30,335,082.45/5,278.70
  6. Step 6: Final answer
    x = 5,746.70

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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.