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Finding the Fourth Proportional to 22,940.85, 31,659.90 and 12,870

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Solution

The fourth proportional to 22,940.85, 31,659.90 and 12,870 is: 17,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.85 : 31,659.90 = 12,870 : x
  2. Step 2: Convert to fraction form
    22,940.85/31,659.90 = 12,870/x
  3. Step 3: Cross multiply
    22,940.85x = 31,659.90 × 12,870
  4. Step 4: Simplify right side
    22,940.85x = 407,462,913
  5. Step 5: Solve for x
    x = 407,462,913/22,940.85
  6. Step 6: Final answer
    x = 17,761.46

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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.