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Finding the Fourth Proportional to 12,487.54, 18,734.10 and 4,696.42

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Solution

The fourth proportional to 12,487.54, 18,734.10 and 4,696.42 is: 7,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,487.54 : 18,734.10 = 4,696.42 : x
  2. Step 2: Convert to fraction form
    12,487.54/18,734.10 = 4,696.42/x
  3. Step 3: Cross multiply
    12,487.54x = 18,734.10 × 4,696.42
  4. Step 4: Simplify right side
    12,487.54x = 87,983,201.92
  5. Step 5: Solve for x
    x = 87,983,201.92/12,487.54
  6. Step 6: Final answer
    x = 7,045.68

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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.