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Finding the Fourth Proportional to 5,268.79, 7,900.10 and 1,982.14

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Solution

The fourth proportional to 5,268.79, 7,900.10 and 1,982.14 is: 2,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.79 : 7,900.10 = 1,982.14 : x
  2. Step 2: Convert to fraction form
    5,268.79/7,900.10 = 1,982.14/x
  3. Step 3: Cross multiply
    5,268.79x = 7,900.10 × 1,982.14
  4. Step 4: Simplify right side
    5,268.79x = 15,659,089.42
  5. Step 5: Solve for x
    x = 15,659,089.42/5,268.79
  6. Step 6: Final answer
    x = 2,972.05

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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.