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Finding the Fourth Proportional to 6,269, 9,403.50 and 2,165

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Solution

The fourth proportional to 6,269, 9,403.50 and 2,165 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269 : 9,403.50 = 2,165 : x
  2. Step 2: Convert to fraction form
    6,269/9,403.50 = 2,165/x
  3. Step 3: Cross multiply
    6,269x = 9,403.50 × 2,165
  4. Step 4: Simplify right side
    6,269x = 20,358,577.50
  5. Step 5: Solve for x
    x = 20,358,577.50/6,269
  6. Step 6: Final answer
    x = 3,247.50

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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.