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Finding the Fourth Proportional to 29,364.88, 40,512 and 16,782.88

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Solution

The fourth proportional to 29,364.88, 40,512 and 16,782.88 is: 23,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364.88 : 40,512 = 16,782.88 : x
  2. Step 2: Convert to fraction form
    29,364.88/40,512 = 16,782.88/x
  3. Step 3: Cross multiply
    29,364.88x = 40,512 × 16,782.88
  4. Step 4: Simplify right side
    29,364.88x = 679,908,034.56
  5. Step 5: Solve for x
    x = 679,908,034.56/29,364.88
  6. Step 6: Final answer
    x = 23,153.78

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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.