Home / 21,142.64-31,713.96-8,822

Finding the Fourth Proportional to 21,142.64, 31,713.96 and 8,822

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Solution

The fourth proportional to 21,142.64, 31,713.96 and 8,822 is: 13,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.64 : 31,713.96 = 8,822 : x
  2. Step 2: Convert to fraction form
    21,142.64/31,713.96 = 8,822/x
  3. Step 3: Cross multiply
    21,142.64x = 31,713.96 × 8,822
  4. Step 4: Simplify right side
    21,142.64x = 279,780,555.12
  5. Step 5: Solve for x
    x = 279,780,555.12/21,142.64
  6. Step 6: Final answer
    x = 13,233

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.