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Finding the Fourth Proportional to 12,371.76, 18,559.96 and 4,976.78

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Solution

The fourth proportional to 12,371.76, 18,559.96 and 4,976.78 is: 7,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.76 : 18,559.96 = 4,976.78 : x
  2. Step 2: Convert to fraction form
    12,371.76/18,559.96 = 4,976.78/x
  3. Step 3: Cross multiply
    12,371.76x = 18,559.96 × 4,976.78
  4. Step 4: Simplify right side
    12,371.76x = 92,368,837.73
  5. Step 5: Solve for x
    x = 92,368,837.73/12,371.76
  6. Step 6: Final answer
    x = 7,466.10

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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.