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Finding the Fourth Proportional to 7,311.87, 10,967.81 and 3,419.01

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Solution

The fourth proportional to 7,311.87, 10,967.81 and 3,419.01 is: 5,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.87 : 10,967.81 = 3,419.01 : x
  2. Step 2: Convert to fraction form
    7,311.87/10,967.81 = 3,419.01/x
  3. Step 3: Cross multiply
    7,311.87x = 10,967.81 × 3,419.01
  4. Step 4: Simplify right side
    7,311.87x = 37,499,034.97
  5. Step 5: Solve for x
    x = 37,499,034.97/7,311.87
  6. Step 6: Final answer
    x = 5,128.52

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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.