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Finding the Fourth Proportional to 22,314.26, 30,790.26 and 12,881

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Solution

The fourth proportional to 22,314.26, 30,790.26 and 12,881 is: 17,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.26 : 30,790.26 = 12,881 : x
  2. Step 2: Convert to fraction form
    22,314.26/30,790.26 = 12,881/x
  3. Step 3: Cross multiply
    22,314.26x = 30,790.26 × 12,881
  4. Step 4: Simplify right side
    22,314.26x = 396,609,339.06
  5. Step 5: Solve for x
    x = 396,609,339.06/22,314.26
  6. Step 6: Final answer
    x = 17,773.81

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1.5x scale

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.