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Finding the Fourth Proportional to 6,407.69, 9,611.54 and 3,287.12

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Solution

The fourth proportional to 6,407.69, 9,611.54 and 3,287.12 is: 4,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.69 : 9,611.54 = 3,287.12 : x
  2. Step 2: Convert to fraction form
    6,407.69/9,611.54 = 3,287.12/x
  3. Step 3: Cross multiply
    6,407.69x = 9,611.54 × 3,287.12
  4. Step 4: Simplify right side
    6,407.69x = 31,594,220.87
  5. Step 5: Solve for x
    x = 31,594,220.87/6,407.69
  6. Step 6: Final answer
    x = 4,930.68

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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.