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Finding the Fourth Proportional to 7,357.79, 11,040.39 and 3,659.87

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Solution

The fourth proportional to 7,357.79, 11,040.39 and 3,659.87 is: 5,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.79 : 11,040.39 = 3,659.87 : x
  2. Step 2: Convert to fraction form
    7,357.79/11,040.39 = 3,659.87/x
  3. Step 3: Cross multiply
    7,357.79x = 11,040.39 × 3,659.87
  4. Step 4: Simplify right side
    7,357.79x = 40,406,336.95
  5. Step 5: Solve for x
    x = 40,406,336.95/7,357.79
  6. Step 6: Final answer
    x = 5,491.64

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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.