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Finding the Fourth Proportional to 6,454.30, 8,907.51 and 3,800.38

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Solution

The fourth proportional to 6,454.30, 8,907.51 and 3,800.38 is: 5,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.30 : 8,907.51 = 3,800.38 : x
  2. Step 2: Convert to fraction form
    6,454.30/8,907.51 = 3,800.38/x
  3. Step 3: Cross multiply
    6,454.30x = 8,907.51 × 3,800.38
  4. Step 4: Simplify right side
    6,454.30x = 33,851,922.85
  5. Step 5: Solve for x
    x = 33,851,922.85/6,454.30
  6. Step 6: Final answer
    x = 5,244.86

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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.