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Finding the Fourth Proportional to 22,786, 31,444.68 and 12,850

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Solution

The fourth proportional to 22,786, 31,444.68 and 12,850 is: 17,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786 : 31,444.68 = 12,850 : x
  2. Step 2: Convert to fraction form
    22,786/31,444.68 = 12,850/x
  3. Step 3: Cross multiply
    22,786x = 31,444.68 × 12,850
  4. Step 4: Simplify right side
    22,786x = 404,064,138
  5. Step 5: Solve for x
    x = 404,064,138/22,786
  6. Step 6: Final answer
    x = 17,733

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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.