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Finding the Fourth Proportional to 6,438.96, 9,662.77 and 2,278.95

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Solution

The fourth proportional to 6,438.96, 9,662.77 and 2,278.95 is: 3,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.96 : 9,662.77 = 2,278.95 : x
  2. Step 2: Convert to fraction form
    6,438.96/9,662.77 = 2,278.95/x
  3. Step 3: Cross multiply
    6,438.96x = 9,662.77 × 2,278.95
  4. Step 4: Simplify right side
    6,438.96x = 22,020,963.99
  5. Step 5: Solve for x
    x = 22,020,963.99/6,438.96
  6. Step 6: Final answer
    x = 3,419.96

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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.