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Finding the Fourth Proportional to 4,300.38, 6,451.38 and 1,377.90

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Solution

The fourth proportional to 4,300.38, 6,451.38 and 1,377.90 is: 2,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.38 : 6,451.38 = 1,377.90 : x
  2. Step 2: Convert to fraction form
    4,300.38/6,451.38 = 1,377.90/x
  3. Step 3: Cross multiply
    4,300.38x = 6,451.38 × 1,377.90
  4. Step 4: Simplify right side
    4,300.38x = 8,889,356.50
  5. Step 5: Solve for x
    x = 8,889,356.50/4,300.38
  6. Step 6: Final answer
    x = 2,067.11

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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.