Home / 21,207.96-31,826.43-10,827

Finding the Fourth Proportional to 21,207.96, 31,826.43 and 10,827

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Solution

The fourth proportional to 21,207.96, 31,826.43 and 10,827 is: 16,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.96 : 31,826.43 = 10,827 : x
  2. Step 2: Convert to fraction form
    21,207.96/31,826.43 = 10,827/x
  3. Step 3: Cross multiply
    21,207.96x = 31,826.43 × 10,827
  4. Step 4: Simplify right side
    21,207.96x = 344,584,757.61
  5. Step 5: Solve for x
    x = 344,584,757.61/21,207.96
  6. Step 6: Final answer
    x = 16,247.90

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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.