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Finding the Fourth Proportional to 3,742.34, 5,613.78 and 969

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Solution

The fourth proportional to 3,742.34, 5,613.78 and 969 is: 1,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.34 : 5,613.78 = 969 : x
  2. Step 2: Convert to fraction form
    3,742.34/5,613.78 = 969/x
  3. Step 3: Cross multiply
    3,742.34x = 5,613.78 × 969
  4. Step 4: Simplify right side
    3,742.34x = 5,439,752.82
  5. Step 5: Solve for x
    x = 5,439,752.82/3,742.34
  6. Step 6: Final answer
    x = 1,453.57

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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.