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Finding the Fourth Proportional to 6,438.53, 9,659.28 and 2,278.55

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Solution

The fourth proportional to 6,438.53, 9,659.28 and 2,278.55 is: 3,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.53 : 9,659.28 = 2,278.55 : x
  2. Step 2: Convert to fraction form
    6,438.53/9,659.28 = 2,278.55/x
  3. Step 3: Cross multiply
    6,438.53x = 9,659.28 × 2,278.55
  4. Step 4: Simplify right side
    6,438.53x = 22,009,185.14
  5. Step 5: Solve for x
    x = 22,009,185.14/6,438.53
  6. Step 6: Final answer
    x = 3,418.35

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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.