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Finding the Fourth Proportional to 15,269, 21,071.22 and 8,645

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Solution

The fourth proportional to 15,269, 21,071.22 and 8,645 is: 11,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269 : 21,071.22 = 8,645 : x
  2. Step 2: Convert to fraction form
    15,269/21,071.22 = 8,645/x
  3. Step 3: Cross multiply
    15,269x = 21,071.22 × 8,645
  4. Step 4: Simplify right side
    15,269x = 182,160,696.90
  5. Step 5: Solve for x
    x = 182,160,696.90/15,269
  6. Step 6: Final answer
    x = 11,930.10

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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.