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Finding the Fourth Proportional to 14,048.61, 21,072.84 and 5,728.59

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Solution

The fourth proportional to 14,048.61, 21,072.84 and 5,728.59 is: 8,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.61 : 21,072.84 = 5,728.59 : x
  2. Step 2: Convert to fraction form
    14,048.61/21,072.84 = 5,728.59/x
  3. Step 3: Cross multiply
    14,048.61x = 21,072.84 × 5,728.59
  4. Step 4: Simplify right side
    14,048.61x = 120,717,660.50
  5. Step 5: Solve for x
    x = 120,717,660.50/14,048.61
  6. Step 6: Final answer
    x = 8,592.85

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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.