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Finding the Fourth Proportional to 14,043.42, 21,065.09 and 5,721.61

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Solution

The fourth proportional to 14,043.42, 21,065.09 and 5,721.61 is: 8,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.42 : 21,065.09 = 5,721.61 : x
  2. Step 2: Convert to fraction form
    14,043.42/21,065.09 = 5,721.61/x
  3. Step 3: Cross multiply
    14,043.42x = 21,065.09 × 5,721.61
  4. Step 4: Simplify right side
    14,043.42x = 120,526,229.59
  5. Step 5: Solve for x
    x = 120,526,229.59/14,043.42
  6. Step 6: Final answer
    x = 8,582.40

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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.