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Finding the Fourth Proportional to 12,647.54, 18,965.10 and 7,384.52

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Solution

The fourth proportional to 12,647.54, 18,965.10 and 7,384.52 is: 11,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.54 : 18,965.10 = 7,384.52 : x
  2. Step 2: Convert to fraction form
    12,647.54/18,965.10 = 7,384.52/x
  3. Step 3: Cross multiply
    12,647.54x = 18,965.10 × 7,384.52
  4. Step 4: Simplify right side
    12,647.54x = 140,048,160.25
  5. Step 5: Solve for x
    x = 140,048,160.25/12,647.54
  6. Step 6: Final answer
    x = 11,073.15

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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.