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Finding the Fourth Proportional to 4,878.96, 7,301.42 and 3,991.20

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Solution

The fourth proportional to 4,878.96, 7,301.42 and 3,991.20 is: 5,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.96 : 7,301.42 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    4,878.96/7,301.42 = 3,991.20/x
  3. Step 3: Cross multiply
    4,878.96x = 7,301.42 × 3,991.20
  4. Step 4: Simplify right side
    4,878.96x = 29,141,427.50
  5. Step 5: Solve for x
    x = 29,141,427.50/4,878.96
  6. Step 6: Final answer
    x = 5,972.88

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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.