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Finding the Fourth Proportional to 9,890, 14,822 and 5,509.52

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Solution

The fourth proportional to 9,890, 14,822 and 5,509.52 is: 8,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890 : 14,822 = 5,509.52 : x
  2. Step 2: Convert to fraction form
    9,890/14,822 = 5,509.52/x
  3. Step 3: Cross multiply
    9,890x = 14,822 × 5,509.52
  4. Step 4: Simplify right side
    9,890x = 81,662,105.44
  5. Step 5: Solve for x
    x = 81,662,105.44/9,890
  6. Step 6: Final answer
    x = 8,257.04

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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.