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Finding the Fourth Proportional to 9,785.78, 14,679.90 and 3,212.64

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Solution

The fourth proportional to 9,785.78, 14,679.90 and 3,212.64 is: 4,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.78 : 14,679.90 = 3,212.64 : x
  2. Step 2: Convert to fraction form
    9,785.78/14,679.90 = 3,212.64/x
  3. Step 3: Cross multiply
    9,785.78x = 14,679.90 × 3,212.64
  4. Step 4: Simplify right side
    9,785.78x = 47,161,233.94
  5. Step 5: Solve for x
    x = 47,161,233.94/9,785.78
  6. Step 6: Final answer
    x = 4,819.36

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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.