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Finding the Fourth Proportional to 3,176.55, 4,382.82 and 1,918.32

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Solution

The fourth proportional to 3,176.55, 4,382.82 and 1,918.32 is: 2,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.55 : 4,382.82 = 1,918.32 : x
  2. Step 2: Convert to fraction form
    3,176.55/4,382.82 = 1,918.32/x
  3. Step 3: Cross multiply
    3,176.55x = 4,382.82 × 1,918.32
  4. Step 4: Simplify right side
    3,176.55x = 8,407,651.26
  5. Step 5: Solve for x
    x = 8,407,651.26/3,176.55
  6. Step 6: Final answer
    x = 2,646.79

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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.