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Finding the Fourth Proportional to 8,764.16, 13,113.30 and 5,241.20

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Solution

The fourth proportional to 8,764.16, 13,113.30 and 5,241.20 is: 7,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.16 : 13,113.30 = 5,241.20 : x
  2. Step 2: Convert to fraction form
    8,764.16/13,113.30 = 5,241.20/x
  3. Step 3: Cross multiply
    8,764.16x = 13,113.30 × 5,241.20
  4. Step 4: Simplify right side
    8,764.16x = 68,729,427.96
  5. Step 5: Solve for x
    x = 68,729,427.96/8,764.16
  6. Step 6: Final answer
    x = 7,842.10

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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.