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Finding the Fourth Proportional to 4,969.38, 6,853.21 and 4,443.90

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Solution

The fourth proportional to 4,969.38, 6,853.21 and 4,443.90 is: 6,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.38 : 6,853.21 = 4,443.90 : x
  2. Step 2: Convert to fraction form
    4,969.38/6,853.21 = 4,443.90/x
  3. Step 3: Cross multiply
    4,969.38x = 6,853.21 × 4,443.90
  4. Step 4: Simplify right side
    4,969.38x = 30,454,979.92
  5. Step 5: Solve for x
    x = 30,454,979.92/4,969.38
  6. Step 6: Final answer
    x = 6,128.53

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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.