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Finding the Fourth Proportional to 7,133.78, 9,843.03 and 4,480.22

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Solution

The fourth proportional to 7,133.78, 9,843.03 and 4,480.22 is: 6,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.78 : 9,843.03 = 4,480.22 : x
  2. Step 2: Convert to fraction form
    7,133.78/9,843.03 = 4,480.22/x
  3. Step 3: Cross multiply
    7,133.78x = 9,843.03 × 4,480.22
  4. Step 4: Simplify right side
    7,133.78x = 44,098,890.65
  5. Step 5: Solve for x
    x = 44,098,890.65/7,133.78
  6. Step 6: Final answer
    x = 6,181.70

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1.5x scale

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.