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Finding the Fourth Proportional to 8,661.93, 12,969.42 and 4,493.19

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Solution

The fourth proportional to 8,661.93, 12,969.42 and 4,493.19 is: 6,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.93 : 12,969.42 = 4,493.19 : x
  2. Step 2: Convert to fraction form
    8,661.93/12,969.42 = 4,493.19/x
  3. Step 3: Cross multiply
    8,661.93x = 12,969.42 × 4,493.19
  4. Step 4: Simplify right side
    8,661.93x = 58,274,068.25
  5. Step 5: Solve for x
    x = 58,274,068.25/8,661.93
  6. Step 6: Final answer
    x = 6,727.61

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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.