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Finding the Fourth Proportional to 8,764.66, 13,114.05 and 5,241.70

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Solution

The fourth proportional to 8,764.66, 13,114.05 and 5,241.70 is: 7,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.66 : 13,114.05 = 5,241.70 : x
  2. Step 2: Convert to fraction form
    8,764.66/13,114.05 = 5,241.70/x
  3. Step 3: Cross multiply
    8,764.66x = 13,114.05 × 5,241.70
  4. Step 4: Simplify right side
    8,764.66x = 68,739,915.89
  5. Step 5: Solve for x
    x = 68,739,915.89/8,764.66
  6. Step 6: Final answer
    x = 7,842.85

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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.