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Finding the Fourth Proportional to 15,938, 21,994.44 and 9,314

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Solution

The fourth proportional to 15,938, 21,994.44 and 9,314 is: 12,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938 : 21,994.44 = 9,314 : x
  2. Step 2: Convert to fraction form
    15,938/21,994.44 = 9,314/x
  3. Step 3: Cross multiply
    15,938x = 21,994.44 × 9,314
  4. Step 4: Simplify right side
    15,938x = 204,856,214.16
  5. Step 5: Solve for x
    x = 204,856,214.16/15,938
  6. Step 6: Final answer
    x = 12,853.32

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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.