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Finding the Fourth Proportional to 8,242.84, 12,368.31 and 3,860.61

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Solution

The fourth proportional to 8,242.84, 12,368.31 and 3,860.61 is: 5,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.84 : 12,368.31 = 3,860.61 : x
  2. Step 2: Convert to fraction form
    8,242.84/12,368.31 = 3,860.61/x
  3. Step 3: Cross multiply
    8,242.84x = 12,368.31 × 3,860.61
  4. Step 4: Simplify right side
    8,242.84x = 47,749,221.27
  5. Step 5: Solve for x
    x = 47,749,221.27/8,242.84
  6. Step 6: Final answer
    x = 5,792.81

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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.