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Finding the Fourth Proportional to 4,007.63, 6,007.11 and 1,372.70

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Solution

The fourth proportional to 4,007.63, 6,007.11 and 1,372.70 is: 2,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.63 : 6,007.11 = 1,372.70 : x
  2. Step 2: Convert to fraction form
    4,007.63/6,007.11 = 1,372.70/x
  3. Step 3: Cross multiply
    4,007.63x = 6,007.11 × 1,372.70
  4. Step 4: Simplify right side
    4,007.63x = 8,245,959.90
  5. Step 5: Solve for x
    x = 8,245,959.90/4,007.63
  6. Step 6: Final answer
    x = 2,057.57

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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.