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Finding the Fourth Proportional to 5,264.80, 7,889.66 and 3,867.16

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Solution

The fourth proportional to 5,264.80, 7,889.66 and 3,867.16 is: 5,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.80 : 7,889.66 = 3,867.16 : x
  2. Step 2: Convert to fraction form
    5,264.80/7,889.66 = 3,867.16/x
  3. Step 3: Cross multiply
    5,264.80x = 7,889.66 × 3,867.16
  4. Step 4: Simplify right side
    5,264.80x = 30,510,577.57
  5. Step 5: Solve for x
    x = 30,510,577.57/5,264.80
  6. Step 6: Final answer
    x = 5,795.20

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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.