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Finding the Fourth Proportional to 22,886, 31,583.16 and 12,950

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Solution

The fourth proportional to 22,886, 31,583.16 and 12,950 is: 17,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886 : 31,583.16 = 12,950 : x
  2. Step 2: Convert to fraction form
    22,886/31,583.16 = 12,950/x
  3. Step 3: Cross multiply
    22,886x = 31,583.16 × 12,950
  4. Step 4: Simplify right side
    22,886x = 409,001,922
  5. Step 5: Solve for x
    x = 409,001,922/22,886
  6. Step 6: Final answer
    x = 17,871.27

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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.