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Finding the Fourth Proportional to 15,882.82, 21,919.14 and 8,809.06

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Solution

The fourth proportional to 15,882.82, 21,919.14 and 8,809.06 is: 12,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.82 : 21,919.14 = 8,809.06 : x
  2. Step 2: Convert to fraction form
    15,882.82/21,919.14 = 8,809.06/x
  3. Step 3: Cross multiply
    15,882.82x = 21,919.14 × 8,809.06
  4. Step 4: Simplify right side
    15,882.82x = 193,087,019.41
  5. Step 5: Solve for x
    x = 193,087,019.41/15,882.82
  6. Step 6: Final answer
    x = 12,156.97

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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.