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Finding the Fourth Proportional to 7,853.76, 10,839.72 and 5,201.28

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Solution

The fourth proportional to 7,853.76, 10,839.72 and 5,201.28 is: 7,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.76 : 10,839.72 = 5,201.28 : x
  2. Step 2: Convert to fraction form
    7,853.76/10,839.72 = 5,201.28/x
  3. Step 3: Cross multiply
    7,853.76x = 10,839.72 × 5,201.28
  4. Step 4: Simplify right side
    7,853.76x = 56,380,418.84
  5. Step 5: Solve for x
    x = 56,380,418.84/7,853.76
  6. Step 6: Final answer
    x = 7,178.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.