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Finding the Fourth Proportional to 4,269, 6,402.75 and 1,149.23

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Solution

The fourth proportional to 4,269, 6,402.75 and 1,149.23 is: 1,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 6,402.75 = 1,149.23 : x
  2. Step 2: Convert to fraction form
    4,269/6,402.75 = 1,149.23/x
  3. Step 3: Cross multiply
    4,269x = 6,402.75 × 1,149.23
  4. Step 4: Simplify right side
    4,269x = 7,358,200.37
  5. Step 5: Solve for x
    x = 7,358,200.37/4,269
  6. Step 6: Final answer
    x = 1,723.64

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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.