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Finding the Fourth Proportional to 29,278.84, 40,404.42 and 15,849.82

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Solution

The fourth proportional to 29,278.84, 40,404.42 and 15,849.82 is: 21,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278.84 : 40,404.42 = 15,849.82 : x
  2. Step 2: Convert to fraction form
    29,278.84/40,404.42 = 15,849.82/x
  3. Step 3: Cross multiply
    29,278.84x = 40,404.42 × 15,849.82
  4. Step 4: Simplify right side
    29,278.84x = 640,402,784.20
  5. Step 5: Solve for x
    x = 640,402,784.20/29,278.84
  6. Step 6: Final answer
    x = 21,872.55

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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.