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Finding the Fourth Proportional to 2,446.68, 3,670.98 and 986.88

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Solution

The fourth proportional to 2,446.68, 3,670.98 and 986.88 is: 1,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.68 : 3,670.98 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,446.68/3,670.98 = 986.88/x
  3. Step 3: Cross multiply
    2,446.68x = 3,670.98 × 986.88
  4. Step 4: Simplify right side
    2,446.68x = 3,622,816.74
  5. Step 5: Solve for x
    x = 3,622,816.74/2,446.68
  6. Step 6: Final answer
    x = 1,480.71

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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.