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Finding the Fourth Proportional to 12,647.91, 18,971.67 and 9,876.84

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Solution

The fourth proportional to 12,647.91, 18,971.67 and 9,876.84 is: 14,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.91 : 18,971.67 = 9,876.84 : x
  2. Step 2: Convert to fraction form
    12,647.91/18,971.67 = 9,876.84/x
  3. Step 3: Cross multiply
    12,647.91x = 18,971.67 × 9,876.84
  4. Step 4: Simplify right side
    12,647.91x = 187,380,149.12
  5. Step 5: Solve for x
    x = 187,380,149.12/12,647.91
  6. Step 6: Final answer
    x = 14,815.11

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1.5x scale

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.