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Finding the Fourth Proportional to 6,369, 9,543.74 and 2,669.22

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Solution

The fourth proportional to 6,369, 9,543.74 and 2,669.22 is: 3,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369 : 9,543.74 = 2,669.22 : x
  2. Step 2: Convert to fraction form
    6,369/9,543.74 = 2,669.22/x
  3. Step 3: Cross multiply
    6,369x = 9,543.74 × 2,669.22
  4. Step 4: Simplify right side
    6,369x = 25,474,341.68
  5. Step 5: Solve for x
    x = 25,474,341.68/6,369
  6. Step 6: Final answer
    x = 3,999.74

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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.