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Finding the Fourth Proportional to 12,251.75, 16,916.93 and 9,414.65

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Solution

The fourth proportional to 12,251.75, 16,916.93 and 9,414.65 is: 12,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.75 : 16,916.93 = 9,414.65 : x
  2. Step 2: Convert to fraction form
    12,251.75/16,916.93 = 9,414.65/x
  3. Step 3: Cross multiply
    12,251.75x = 16,916.93 × 9,414.65
  4. Step 4: Simplify right side
    12,251.75x = 159,266,975.02
  5. Step 5: Solve for x
    x = 159,266,975.02/12,251.75
  6. Step 6: Final answer
    x = 12,999.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.