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Finding the Fourth Proportional to 3,919.10, 5,878.14 and 997.22

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Solution

The fourth proportional to 3,919.10, 5,878.14 and 997.22 is: 1,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.10 : 5,878.14 = 997.22 : x
  2. Step 2: Convert to fraction form
    3,919.10/5,878.14 = 997.22/x
  3. Step 3: Cross multiply
    3,919.10x = 5,878.14 × 997.22
  4. Step 4: Simplify right side
    3,919.10x = 5,861,809.73
  5. Step 5: Solve for x
    x = 5,861,809.73/3,919.10
  6. Step 6: Final answer
    x = 1,495.70

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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.