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Finding the Fourth Proportional to 22,759, 31,407.42 and 12,823

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Solution

The fourth proportional to 22,759, 31,407.42 and 12,823 is: 17,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759 : 31,407.42 = 12,823 : x
  2. Step 2: Convert to fraction form
    22,759/31,407.42 = 12,823/x
  3. Step 3: Cross multiply
    22,759x = 31,407.42 × 12,823
  4. Step 4: Simplify right side
    22,759x = 402,737,346.66
  5. Step 5: Solve for x
    x = 402,737,346.66/22,759
  6. Step 6: Final answer
    x = 17,695.74

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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.