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Finding the Fourth Proportional to 6,438.76, 9,642.78 and 3,697

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Solution

The fourth proportional to 6,438.76, 9,642.78 and 3,697 is: 5,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.76 : 9,642.78 = 3,697 : x
  2. Step 2: Convert to fraction form
    6,438.76/9,642.78 = 3,697/x
  3. Step 3: Cross multiply
    6,438.76x = 9,642.78 × 3,697
  4. Step 4: Simplify right side
    6,438.76x = 35,649,357.66
  5. Step 5: Solve for x
    x = 35,649,357.66/6,438.76
  6. Step 6: Final answer
    x = 5,536.68

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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.