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Finding the Fourth Proportional to 10,786.80, 14,872.98 and 9,292.20

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Solution

The fourth proportional to 10,786.80, 14,872.98 and 9,292.20 is: 12,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.80 : 14,872.98 = 9,292.20 : x
  2. Step 2: Convert to fraction form
    10,786.80/14,872.98 = 9,292.20/x
  3. Step 3: Cross multiply
    10,786.80x = 14,872.98 × 9,292.20
  4. Step 4: Simplify right side
    10,786.80x = 138,202,704.76
  5. Step 5: Solve for x
    x = 138,202,704.76/10,786.80
  6. Step 6: Final answer
    x = 12,812.21

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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.