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Finding the Fourth Proportional to 6,488.82, 9,728.34 and 2,741.76

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Solution

The fourth proportional to 6,488.82, 9,728.34 and 2,741.76 is: 4,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.82 : 9,728.34 = 2,741.76 : x
  2. Step 2: Convert to fraction form
    6,488.82/9,728.34 = 2,741.76/x
  3. Step 3: Cross multiply
    6,488.82x = 9,728.34 × 2,741.76
  4. Step 4: Simplify right side
    6,488.82x = 26,672,773.48
  5. Step 5: Solve for x
    x = 26,672,773.48/6,488.82
  6. Step 6: Final answer
    x = 4,110.57

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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.