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Finding the Fourth Proportional to 8,942.49, 13,409.78 and 4,781.72

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Solution

The fourth proportional to 8,942.49, 13,409.78 and 4,781.72 is: 7,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.49 : 13,409.78 = 4,781.72 : x
  2. Step 2: Convert to fraction form
    8,942.49/13,409.78 = 4,781.72/x
  3. Step 3: Cross multiply
    8,942.49x = 13,409.78 × 4,781.72
  4. Step 4: Simplify right side
    8,942.49x = 64,121,722.26
  5. Step 5: Solve for x
    x = 64,121,722.26/8,942.49
  6. Step 6: Final answer
    x = 7,170.46

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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.