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Finding the Fourth Proportional to 12,447, 18,663.90 and 3,680.70

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Solution

The fourth proportional to 12,447, 18,663.90 and 3,680.70 is: 5,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447 : 18,663.90 = 3,680.70 : x
  2. Step 2: Convert to fraction form
    12,447/18,663.90 = 3,680.70/x
  3. Step 3: Cross multiply
    12,447x = 18,663.90 × 3,680.70
  4. Step 4: Simplify right side
    12,447x = 68,696,216.73
  5. Step 5: Solve for x
    x = 68,696,216.73/12,447
  6. Step 6: Final answer
    x = 5,519.10

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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.