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Finding the Fourth Proportional to 10,855.98, 14,974.14 and 8,614.32

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Solution

The fourth proportional to 10,855.98, 14,974.14 and 8,614.32 is: 11,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.98 : 14,974.14 = 8,614.32 : x
  2. Step 2: Convert to fraction form
    10,855.98/14,974.14 = 8,614.32/x
  3. Step 3: Cross multiply
    10,855.98x = 14,974.14 × 8,614.32
  4. Step 4: Simplify right side
    10,855.98x = 128,992,033.68
  5. Step 5: Solve for x
    x = 128,992,033.68/10,855.98
  6. Step 6: Final answer
    x = 11,882.12

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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.