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Finding the Fourth Proportional to 6,748.50, 9,273.75 and 6,439.80

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Solution

The fourth proportional to 6,748.50, 9,273.75 and 6,439.80 is: 8,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.50 : 9,273.75 = 6,439.80 : x
  2. Step 2: Convert to fraction form
    6,748.50/9,273.75 = 6,439.80/x
  3. Step 3: Cross multiply
    6,748.50x = 9,273.75 × 6,439.80
  4. Step 4: Simplify right side
    6,748.50x = 59,721,095.25
  5. Step 5: Solve for x
    x = 59,721,095.25/6,748.50
  6. Step 6: Final answer
    x = 8,849.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.