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Finding the Fourth Proportional to 4,812.39, 6,641.21 and 2,824.38

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Solution

The fourth proportional to 4,812.39, 6,641.21 and 2,824.38 is: 3,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.39 : 6,641.21 = 2,824.38 : x
  2. Step 2: Convert to fraction form
    4,812.39/6,641.21 = 2,824.38/x
  3. Step 3: Cross multiply
    4,812.39x = 6,641.21 × 2,824.38
  4. Step 4: Simplify right side
    4,812.39x = 18,757,312.27
  5. Step 5: Solve for x
    x = 18,757,312.27/4,812.39
  6. Step 6: Final answer
    x = 3,897.71

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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.