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Finding the Fourth Proportional to 9,375, 12,939.12 and 5,649

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Solution

The fourth proportional to 9,375, 12,939.12 and 5,649 is: 7,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375 : 12,939.12 = 5,649 : x
  2. Step 2: Convert to fraction form
    9,375/12,939.12 = 5,649/x
  3. Step 3: Cross multiply
    9,375x = 12,939.12 × 5,649
  4. Step 4: Simplify right side
    9,375x = 73,093,088.88
  5. Step 5: Solve for x
    x = 73,093,088.88/9,375
  6. Step 6: Final answer
    x = 7,796.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.