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Finding the Fourth Proportional to 15,885.30, 21,924.36 and 8,814

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Solution

The fourth proportional to 15,885.30, 21,924.36 and 8,814 is: 12,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.30 : 21,924.36 = 8,814 : x
  2. Step 2: Convert to fraction form
    15,885.30/21,924.36 = 8,814/x
  3. Step 3: Cross multiply
    15,885.30x = 21,924.36 × 8,814
  4. Step 4: Simplify right side
    15,885.30x = 193,241,309.04
  5. Step 5: Solve for x
    x = 193,241,309.04/15,885.30
  6. Step 6: Final answer
    x = 12,164.79

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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.