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Finding the Fourth Proportional to 21,008, 31,512 and 8,696.32

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Solution

The fourth proportional to 21,008, 31,512 and 8,696.32 is: 13,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008 : 31,512 = 8,696.32 : x
  2. Step 2: Convert to fraction form
    21,008/31,512 = 8,696.32/x
  3. Step 3: Cross multiply
    21,008x = 31,512 × 8,696.32
  4. Step 4: Simplify right side
    21,008x = 274,038,435.84
  5. Step 5: Solve for x
    x = 274,038,435.84/21,008
  6. Step 6: Final answer
    x = 13,044.48

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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.