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Finding the Fourth Proportional to 7,574.13, 11,343.56 and 7,311.39

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Solution

The fourth proportional to 7,574.13, 11,343.56 and 7,311.39 is: 10,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.13 : 11,343.56 = 7,311.39 : x
  2. Step 2: Convert to fraction form
    7,574.13/11,343.56 = 7,311.39/x
  3. Step 3: Cross multiply
    7,574.13x = 11,343.56 × 7,311.39
  4. Step 4: Simplify right side
    7,574.13x = 82,937,191.15
  5. Step 5: Solve for x
    x = 82,937,191.15/7,574.13
  6. Step 6: Final answer
    x = 10,950.06

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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.