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Finding the Fourth Proportional to 5,242.46, 7,868.54 and 2,647.22

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Solution

The fourth proportional to 5,242.46, 7,868.54 and 2,647.22 is: 3,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.46 : 7,868.54 = 2,647.22 : x
  2. Step 2: Convert to fraction form
    5,242.46/7,868.54 = 2,647.22/x
  3. Step 3: Cross multiply
    5,242.46x = 7,868.54 × 2,647.22
  4. Step 4: Simplify right side
    5,242.46x = 20,829,723.73
  5. Step 5: Solve for x
    x = 20,829,723.73/5,242.46
  6. Step 6: Final answer
    x = 3,973.28

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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.