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Finding the Fourth Proportional to 6,881.85, 10,322.77 and 1,951.53

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Solution

The fourth proportional to 6,881.85, 10,322.77 and 1,951.53 is: 2,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.85 : 10,322.77 = 1,951.53 : x
  2. Step 2: Convert to fraction form
    6,881.85/10,322.77 = 1,951.53/x
  3. Step 3: Cross multiply
    6,881.85x = 10,322.77 × 1,951.53
  4. Step 4: Simplify right side
    6,881.85x = 20,145,164.65
  5. Step 5: Solve for x
    x = 20,145,164.65/6,881.85
  6. Step 6: Final answer
    x = 2,927.29

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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.