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Finding the Fourth Proportional to 12,371.09, 18,565.74 and 7,697.97

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Solution

The fourth proportional to 12,371.09, 18,565.74 and 7,697.97 is: 11,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.09 : 18,565.74 = 7,697.97 : x
  2. Step 2: Convert to fraction form
    12,371.09/18,565.74 = 7,697.97/x
  3. Step 3: Cross multiply
    12,371.09x = 18,565.74 × 7,697.97
  4. Step 4: Simplify right side
    12,371.09x = 142,918,509.55
  5. Step 5: Solve for x
    x = 142,918,509.55/12,371.09
  6. Step 6: Final answer
    x = 11,552.63

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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.