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Finding the Fourth Proportional to 8,242.34, 12,356.67 and 3,857.54

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Solution

The fourth proportional to 8,242.34, 12,356.67 and 3,857.54 is: 5,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.34 : 12,356.67 = 3,857.54 : x
  2. Step 2: Convert to fraction form
    8,242.34/12,356.67 = 3,857.54/x
  3. Step 3: Cross multiply
    8,242.34x = 12,356.67 × 3,857.54
  4. Step 4: Simplify right side
    8,242.34x = 47,666,348.79
  5. Step 5: Solve for x
    x = 47,666,348.79/8,242.34
  6. Step 6: Final answer
    x = 5,783.11

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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.