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Finding the Fourth Proportional to 12,610.64, 18,917.04 and 5,213.68

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Solution

The fourth proportional to 12,610.64, 18,917.04 and 5,213.68 is: 7,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.64 : 18,917.04 = 5,213.68 : x
  2. Step 2: Convert to fraction form
    12,610.64/18,917.04 = 5,213.68/x
  3. Step 3: Cross multiply
    12,610.64x = 18,917.04 × 5,213.68
  4. Step 4: Simplify right side
    12,610.64x = 98,627,393.11
  5. Step 5: Solve for x
    x = 98,627,393.11/12,610.64
  6. Step 6: Final answer
    x = 7,820.97

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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.