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Finding the Fourth Proportional to 11,809.61, 16,299.03 and 8,972.31

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Solution

The fourth proportional to 11,809.61, 16,299.03 and 8,972.31 is: 12,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.61 : 16,299.03 = 8,972.31 : x
  2. Step 2: Convert to fraction form
    11,809.61/16,299.03 = 8,972.31/x
  3. Step 3: Cross multiply
    11,809.61x = 16,299.03 × 8,972.31
  4. Step 4: Simplify right side
    11,809.61x = 146,239,949.86
  5. Step 5: Solve for x
    x = 146,239,949.86/11,809.61
  6. Step 6: Final answer
    x = 12,383.13

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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.