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Finding the Fourth Proportional to 10,855.40, 14,922.28 and 9,786.20

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Solution

The fourth proportional to 10,855.40, 14,922.28 and 9,786.20 is: 13,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.40 : 14,922.28 = 9,786.20 : x
  2. Step 2: Convert to fraction form
    10,855.40/14,922.28 = 9,786.20/x
  3. Step 3: Cross multiply
    10,855.40x = 14,922.28 × 9,786.20
  4. Step 4: Simplify right side
    10,855.40x = 146,032,416.54
  5. Step 5: Solve for x
    x = 146,032,416.54/10,855.40
  6. Step 6: Final answer
    x = 13,452.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.