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Finding the Fourth Proportional to 11,967.84, 17,977.68 and 9,781.92

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Solution

The fourth proportional to 11,967.84, 17,977.68 and 9,781.92 is: 14,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.84 : 17,977.68 = 9,781.92 : x
  2. Step 2: Convert to fraction form
    11,967.84/17,977.68 = 9,781.92/x
  3. Step 3: Cross multiply
    11,967.84x = 17,977.68 × 9,781.92
  4. Step 4: Simplify right side
    11,967.84x = 175,856,227.55
  5. Step 5: Solve for x
    x = 175,856,227.55/11,967.84
  6. Step 6: Final answer
    x = 14,694.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.