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Finding the Fourth Proportional to 6,962.92, 9,608.74 and 3,978.73

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Solution

The fourth proportional to 6,962.92, 9,608.74 and 3,978.73 is: 5,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.92 : 9,608.74 = 3,978.73 : x
  2. Step 2: Convert to fraction form
    6,962.92/9,608.74 = 3,978.73/x
  3. Step 3: Cross multiply
    6,962.92x = 9,608.74 × 3,978.73
  4. Step 4: Simplify right side
    6,962.92x = 38,230,582.10
  5. Step 5: Solve for x
    x = 38,230,582.10/6,962.92
  6. Step 6: Final answer
    x = 5,490.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.