Home / 11,905.80-16,411.03-9,384

Finding the Fourth Proportional to 11,905.80, 16,411.03 and 9,384

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Solution

The fourth proportional to 11,905.80, 16,411.03 and 9,384 is: 12,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.80 : 16,411.03 = 9,384 : x
  2. Step 2: Convert to fraction form
    11,905.80/16,411.03 = 9,384/x
  3. Step 3: Cross multiply
    11,905.80x = 16,411.03 × 9,384
  4. Step 4: Simplify right side
    11,905.80x = 154,001,105.52
  5. Step 5: Solve for x
    x = 154,001,105.52/11,905.80
  6. Step 6: Final answer
    x = 12,934.96

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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.