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Finding the Fourth Proportional to 6,481.66, 9,722.52 and 2,780.76

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Solution

The fourth proportional to 6,481.66, 9,722.52 and 2,780.76 is: 4,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.66 : 9,722.52 = 2,780.76 : x
  2. Step 2: Convert to fraction form
    6,481.66/9,722.52 = 2,780.76/x
  3. Step 3: Cross multiply
    6,481.66x = 9,722.52 × 2,780.76
  4. Step 4: Simplify right side
    6,481.66x = 27,035,994.72
  5. Step 5: Solve for x
    x = 27,035,994.72/6,481.66
  6. Step 6: Final answer
    x = 4,171.15

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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.