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Finding the Fourth Proportional to 21,245, 31,881.18 and 8,933

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Solution

The fourth proportional to 21,245, 31,881.18 and 8,933 is: 13,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245 : 31,881.18 = 8,933 : x
  2. Step 2: Convert to fraction form
    21,245/31,881.18 = 8,933/x
  3. Step 3: Cross multiply
    21,245x = 31,881.18 × 8,933
  4. Step 4: Simplify right side
    21,245x = 284,794,580.94
  5. Step 5: Solve for x
    x = 284,794,580.94/21,245
  6. Step 6: Final answer
    x = 13,405.25

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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.