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Finding the Fourth Proportional to 10,208.64, 15,309.72 and 3,968.22

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Solution

The fourth proportional to 10,208.64, 15,309.72 and 3,968.22 is: 5,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.64 : 15,309.72 = 3,968.22 : x
  2. Step 2: Convert to fraction form
    10,208.64/15,309.72 = 3,968.22/x
  3. Step 3: Cross multiply
    10,208.64x = 15,309.72 × 3,968.22
  4. Step 4: Simplify right side
    10,208.64x = 60,752,337.10
  5. Step 5: Solve for x
    x = 60,752,337.10/10,208.64
  6. Step 6: Final answer
    x = 5,951.07

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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.