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Finding the Fourth Proportional to 6,642.96, 9,961.26 and 3,870.42

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Solution

The fourth proportional to 6,642.96, 9,961.26 and 3,870.42 is: 5,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.96 : 9,961.26 = 3,870.42 : x
  2. Step 2: Convert to fraction form
    6,642.96/9,961.26 = 3,870.42/x
  3. Step 3: Cross multiply
    6,642.96x = 9,961.26 × 3,870.42
  4. Step 4: Simplify right side
    6,642.96x = 38,554,259.93
  5. Step 5: Solve for x
    x = 38,554,259.93/6,642.96
  6. Step 6: Final answer
    x = 5,803.78

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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.