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Finding the Fourth Proportional to 12.83, 19.22 and 10.57

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Solution

The fourth proportional to 12.83, 19.22 and 10.57 is: 15.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.83 : 19.22 = 10.57 : x
  2. Step 2: Convert to fraction form
    12.83/19.22 = 10.57/x
  3. Step 3: Cross multiply
    12.83x = 19.22 × 10.57
  4. Step 4: Simplify right side
    12.83x = 203.16
  5. Step 5: Solve for x
    x = 203.16/12.83
  6. Step 6: Final answer
    x = 15.83

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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.