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Finding the Fourth Proportional to 6,342.50, 9,511.07 and 1,900.80

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Solution

The fourth proportional to 6,342.50, 9,511.07 and 1,900.80 is: 2,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.50 : 9,511.07 = 1,900.80 : x
  2. Step 2: Convert to fraction form
    6,342.50/9,511.07 = 1,900.80/x
  3. Step 3: Cross multiply
    6,342.50x = 9,511.07 × 1,900.80
  4. Step 4: Simplify right side
    6,342.50x = 18,078,594.30
  5. Step 5: Solve for x
    x = 18,078,594.30/6,342.50
  6. Step 6: Final answer
    x = 2,850.39

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1.5x scale

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.