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Finding the Fourth Proportional to 6,961.76, 9,607.92 and 3,978.08

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Solution

The fourth proportional to 6,961.76, 9,607.92 and 3,978.08 is: 5,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.76 : 9,607.92 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    6,961.76/9,607.92 = 3,978.08/x
  3. Step 3: Cross multiply
    6,961.76x = 9,607.92 × 3,978.08
  4. Step 4: Simplify right side
    6,961.76x = 38,221,074.39
  5. Step 5: Solve for x
    x = 38,221,074.39/6,961.76
  6. Step 6: Final answer
    x = 5,490.15

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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.