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Finding the Fourth Proportional to 8,914.78, 13,367.17 and 3,653.45

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Solution

The fourth proportional to 8,914.78, 13,367.17 and 3,653.45 is: 5,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.78 : 13,367.17 = 3,653.45 : x
  2. Step 2: Convert to fraction form
    8,914.78/13,367.17 = 3,653.45/x
  3. Step 3: Cross multiply
    8,914.78x = 13,367.17 × 3,653.45
  4. Step 4: Simplify right side
    8,914.78x = 48,836,287.24
  5. Step 5: Solve for x
    x = 48,836,287.24/8,914.78
  6. Step 6: Final answer
    x = 5,478.13

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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.