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Finding the Fourth Proportional to 11,920.84, 16,458.18 and 11,177

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Solution

The fourth proportional to 11,920.84, 16,458.18 and 11,177 is: 15,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.84 : 16,458.18 = 11,177 : x
  2. Step 2: Convert to fraction form
    11,920.84/16,458.18 = 11,177/x
  3. Step 3: Cross multiply
    11,920.84x = 16,458.18 × 11,177
  4. Step 4: Simplify right side
    11,920.84x = 183,953,077.86
  5. Step 5: Solve for x
    x = 183,953,077.86/11,920.84
  6. Step 6: Final answer
    x = 15,431.22

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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.