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Finding the Fourth Proportional to 21,854.26, 32,781.48 and 8,003.26

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Solution

The fourth proportional to 21,854.26, 32,781.48 and 8,003.26 is: 12,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.26 : 32,781.48 = 8,003.26 : x
  2. Step 2: Convert to fraction form
    21,854.26/32,781.48 = 8,003.26/x
  3. Step 3: Cross multiply
    21,854.26x = 32,781.48 × 8,003.26
  4. Step 4: Simplify right side
    21,854.26x = 262,358,707.62
  5. Step 5: Solve for x
    x = 262,358,707.62/21,854.26
  6. Step 6: Final answer
    x = 12,004.92

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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.