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Finding the Fourth Proportional to 9,922.80, 14,859.90 and 4,722.60

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Solution

The fourth proportional to 9,922.80, 14,859.90 and 4,722.60 is: 7,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.80 : 14,859.90 = 4,722.60 : x
  2. Step 2: Convert to fraction form
    9,922.80/14,859.90 = 4,722.60/x
  3. Step 3: Cross multiply
    9,922.80x = 14,859.90 × 4,722.60
  4. Step 4: Simplify right side
    9,922.80x = 70,177,363.74
  5. Step 5: Solve for x
    x = 70,177,363.74/9,922.80
  6. Step 6: Final answer
    x = 7,072.33

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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.