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Finding the Fourth Proportional to 3,919.12, 5,878.74 and 997.45

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Solution

The fourth proportional to 3,919.12, 5,878.74 and 997.45 is: 1,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.12 : 5,878.74 = 997.45 : x
  2. Step 2: Convert to fraction form
    3,919.12/5,878.74 = 997.45/x
  3. Step 3: Cross multiply
    3,919.12x = 5,878.74 × 997.45
  4. Step 4: Simplify right side
    3,919.12x = 5,863,749.21
  5. Step 5: Solve for x
    x = 5,863,749.21/3,919.12
  6. Step 6: Final answer
    x = 1,496.19

Related Problems

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Double scale
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Similar ratio
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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.