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Finding the Fourth Proportional to 5,279.84, 7,902.56 and 3,892.64

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Solution

The fourth proportional to 5,279.84, 7,902.56 and 3,892.64 is: 5,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.84 : 7,902.56 = 3,892.64 : x
  2. Step 2: Convert to fraction form
    5,279.84/7,902.56 = 3,892.64/x
  3. Step 3: Cross multiply
    5,279.84x = 7,902.56 × 3,892.64
  4. Step 4: Simplify right side
    5,279.84x = 30,761,821.16
  5. Step 5: Solve for x
    x = 30,761,821.16/5,279.84
  6. Step 6: Final answer
    x = 5,826.28

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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.