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Finding the Fourth Proportional to 12,277.60, 16,939.20 and 10,916.80

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Solution

The fourth proportional to 12,277.60, 16,939.20 and 10,916.80 is: 15,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.60 : 16,939.20 = 10,916.80 : x
  2. Step 2: Convert to fraction form
    12,277.60/16,939.20 = 10,916.80/x
  3. Step 3: Cross multiply
    12,277.60x = 16,939.20 × 10,916.80
  4. Step 4: Simplify right side
    12,277.60x = 184,921,858.56
  5. Step 5: Solve for x
    x = 184,921,858.56/12,277.60
  6. Step 6: Final answer
    x = 15,061.73

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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.