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Finding the Fourth Proportional to 10,608.64, 15,913.74 and 3,212.44

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Solution

The fourth proportional to 10,608.64, 15,913.74 and 3,212.44 is: 4,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.64 : 15,913.74 = 3,212.44 : x
  2. Step 2: Convert to fraction form
    10,608.64/15,913.74 = 3,212.44/x
  3. Step 3: Cross multiply
    10,608.64x = 15,913.74 × 3,212.44
  4. Step 4: Simplify right side
    10,608.64x = 51,121,934.93
  5. Step 5: Solve for x
    x = 51,121,934.93/10,608.64
  6. Step 6: Final answer
    x = 4,818.90

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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.