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Finding the Fourth Proportional to 11,961.18, 16,494.98 and 9,123.51

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Solution

The fourth proportional to 11,961.18, 16,494.98 and 9,123.51 is: 12,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.18 : 16,494.98 = 9,123.51 : x
  2. Step 2: Convert to fraction form
    11,961.18/16,494.98 = 9,123.51/x
  3. Step 3: Cross multiply
    11,961.18x = 16,494.98 × 9,123.51
  4. Step 4: Simplify right side
    11,961.18x = 150,492,069.36
  5. Step 5: Solve for x
    x = 150,492,069.36/11,961.18
  6. Step 6: Final answer
    x = 12,581.71

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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.