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Finding the Fourth Proportional to 15,938, 21,997.63 and 12,154.42

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Solution

The fourth proportional to 15,938, 21,997.63 and 12,154.42 is: 16,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938 : 21,997.63 = 12,154.42 : x
  2. Step 2: Convert to fraction form
    15,938/21,997.63 = 12,154.42/x
  3. Step 3: Cross multiply
    15,938x = 21,997.63 × 12,154.42
  4. Step 4: Simplify right side
    15,938x = 267,368,434.02
  5. Step 5: Solve for x
    x = 267,368,434.02/15,938
  6. Step 6: Final answer
    x = 16,775.53

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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.