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Finding the Fourth Proportional to 7,224.19, 9,963.91 and 4,989.80

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Solution

The fourth proportional to 7,224.19, 9,963.91 and 4,989.80 is: 6,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.19 : 9,963.91 = 4,989.80 : x
  2. Step 2: Convert to fraction form
    7,224.19/9,963.91 = 4,989.80/x
  3. Step 3: Cross multiply
    7,224.19x = 9,963.91 × 4,989.80
  4. Step 4: Simplify right side
    7,224.19x = 49,717,949.27
  5. Step 5: Solve for x
    x = 49,717,949.27/7,224.19
  6. Step 6: Final answer
    x = 6,882.15

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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.