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Finding the Fourth Proportional to 5,218.72, 7,828.08 and 1,755.76

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Solution

The fourth proportional to 5,218.72, 7,828.08 and 1,755.76 is: 2,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.72 : 7,828.08 = 1,755.76 : x
  2. Step 2: Convert to fraction form
    5,218.72/7,828.08 = 1,755.76/x
  3. Step 3: Cross multiply
    5,218.72x = 7,828.08 × 1,755.76
  4. Step 4: Simplify right side
    5,218.72x = 13,744,229.74
  5. Step 5: Solve for x
    x = 13,744,229.74/5,218.72
  6. Step 6: Final answer
    x = 2,633.64

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Similar ratio
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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.