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Finding the Fourth Proportional to 7,473.50, 11,200.42 and 3,773.69

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Solution

The fourth proportional to 7,473.50, 11,200.42 and 3,773.69 is: 5,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.50 : 11,200.42 = 3,773.69 : x
  2. Step 2: Convert to fraction form
    7,473.50/11,200.42 = 3,773.69/x
  3. Step 3: Cross multiply
    7,473.50x = 11,200.42 × 3,773.69
  4. Step 4: Simplify right side
    7,473.50x = 42,266,838.08
  5. Step 5: Solve for x
    x = 42,266,838.08/7,473.50
  6. Step 6: Final answer
    x = 5,655.57

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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.