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Finding the Fourth Proportional to 2,921.26, 4,382.10 and 919.78

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Solution

The fourth proportional to 2,921.26, 4,382.10 and 919.78 is: 1,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.26 : 4,382.10 = 919.78 : x
  2. Step 2: Convert to fraction form
    2,921.26/4,382.10 = 919.78/x
  3. Step 3: Cross multiply
    2,921.26x = 4,382.10 × 919.78
  4. Step 4: Simplify right side
    2,921.26x = 4,030,567.94
  5. Step 5: Solve for x
    x = 4,030,567.94/2,921.26
  6. Step 6: Final answer
    x = 1,379.74

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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.