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Finding the Fourth Proportional to 6,672.66, 10,002.78 and 4,200

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Solution

The fourth proportional to 6,672.66, 10,002.78 and 4,200 is: 6,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.66 : 10,002.78 = 4,200 : x
  2. Step 2: Convert to fraction form
    6,672.66/10,002.78 = 4,200/x
  3. Step 3: Cross multiply
    6,672.66x = 10,002.78 × 4,200
  4. Step 4: Simplify right side
    6,672.66x = 42,011,676
  5. Step 5: Solve for x
    x = 42,011,676/6,672.66
  6. Step 6: Final answer
    x = 6,296.09

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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.