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Finding the Fourth Proportional to 12,960, 17,884.80 and 9,244.80

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Solution

The fourth proportional to 12,960, 17,884.80 and 9,244.80 is: 12,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960 : 17,884.80 = 9,244.80 : x
  2. Step 2: Convert to fraction form
    12,960/17,884.80 = 9,244.80/x
  3. Step 3: Cross multiply
    12,960x = 17,884.80 × 9,244.80
  4. Step 4: Simplify right side
    12,960x = 165,341,399.04
  5. Step 5: Solve for x
    x = 165,341,399.04/12,960
  6. Step 6: Final answer
    x = 12,757.82

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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.