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Finding the Fourth Proportional to 6,485.52, 9,728.87 and 2,269.47

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Solution

The fourth proportional to 6,485.52, 9,728.87 and 2,269.47 is: 3,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.52 : 9,728.87 = 2,269.47 : x
  2. Step 2: Convert to fraction form
    6,485.52/9,728.87 = 2,269.47/x
  3. Step 3: Cross multiply
    6,485.52x = 9,728.87 × 2,269.47
  4. Step 4: Simplify right side
    6,485.52x = 22,079,367.25
  5. Step 5: Solve for x
    x = 22,079,367.25/6,485.52
  6. Step 6: Final answer
    x = 3,404.41

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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.