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Finding the Fourth Proportional to 7,224.14, 10,838.82 and 2,839.16

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Solution

The fourth proportional to 7,224.14, 10,838.82 and 2,839.16 is: 4,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.14 : 10,838.82 = 2,839.16 : x
  2. Step 2: Convert to fraction form
    7,224.14/10,838.82 = 2,839.16/x
  3. Step 3: Cross multiply
    7,224.14x = 10,838.82 × 2,839.16
  4. Step 4: Simplify right side
    7,224.14x = 30,773,144.19
  5. Step 5: Solve for x
    x = 30,773,144.19/7,224.14
  6. Step 6: Final answer
    x = 4,259.77

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1.5x scale

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.