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Finding the Fourth Proportional to 4,219.66, 6,329.49 and 1,620.78

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Solution

The fourth proportional to 4,219.66, 6,329.49 and 1,620.78 is: 2,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.66 : 6,329.49 = 1,620.78 : x
  2. Step 2: Convert to fraction form
    4,219.66/6,329.49 = 1,620.78/x
  3. Step 3: Cross multiply
    4,219.66x = 6,329.49 × 1,620.78
  4. Step 4: Simplify right side
    4,219.66x = 10,258,690.11
  5. Step 5: Solve for x
    x = 10,258,690.11/4,219.66
  6. Step 6: Final answer
    x = 2,431.16

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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.