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Finding the Fourth Proportional to 21,193.74, 31,785.21 and 8,717.22

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Solution

The fourth proportional to 21,193.74, 31,785.21 and 8,717.22 is: 13,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.74 : 31,785.21 = 8,717.22 : x
  2. Step 2: Convert to fraction form
    21,193.74/31,785.21 = 8,717.22/x
  3. Step 3: Cross multiply
    21,193.74x = 31,785.21 × 8,717.22
  4. Step 4: Simplify right side
    21,193.74x = 277,078,668.32
  5. Step 5: Solve for x
    x = 277,078,668.32/21,193.74
  6. Step 6: Final answer
    x = 13,073.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.