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Finding the Fourth Proportional to 5,382.76, 8,073.98 and 1,919.08

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Solution

The fourth proportional to 5,382.76, 8,073.98 and 1,919.08 is: 2,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.76 : 8,073.98 = 1,919.08 : x
  2. Step 2: Convert to fraction form
    5,382.76/8,073.98 = 1,919.08/x
  3. Step 3: Cross multiply
    5,382.76x = 8,073.98 × 1,919.08
  4. Step 4: Simplify right side
    5,382.76x = 15,494,613.54
  5. Step 5: Solve for x
    x = 15,494,613.54/5,382.76
  6. Step 6: Final answer
    x = 2,878.56

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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.