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Finding the Fourth Proportional to 21,269, 31,918.11 and 7,418

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Solution

The fourth proportional to 21,269, 31,918.11 and 7,418 is: 11,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269 : 31,918.11 = 7,418 : x
  2. Step 2: Convert to fraction form
    21,269/31,918.11 = 7,418/x
  3. Step 3: Cross multiply
    21,269x = 31,918.11 × 7,418
  4. Step 4: Simplify right side
    21,269x = 236,768,539.98
  5. Step 5: Solve for x
    x = 236,768,539.98/21,269
  6. Step 6: Final answer
    x = 11,132.10

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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.