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Finding the Fourth Proportional to 6,939, 9,575.78 and 3,795.20

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Solution

The fourth proportional to 6,939, 9,575.78 and 3,795.20 is: 5,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 9,575.78 = 3,795.20 : x
  2. Step 2: Convert to fraction form
    6,939/9,575.78 = 3,795.20/x
  3. Step 3: Cross multiply
    6,939x = 9,575.78 × 3,795.20
  4. Step 4: Simplify right side
    6,939x = 36,342,000.26
  5. Step 5: Solve for x
    x = 36,342,000.26/6,939
  6. Step 6: Final answer
    x = 5,237.35

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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.