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Finding the Fourth Proportional to 2,446.74, 3,670.07 and 985.86

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Solution

The fourth proportional to 2,446.74, 3,670.07 and 985.86 is: 1,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.74 : 3,670.07 = 985.86 : x
  2. Step 2: Convert to fraction form
    2,446.74/3,670.07 = 985.86/x
  3. Step 3: Cross multiply
    2,446.74x = 3,670.07 × 985.86
  4. Step 4: Simplify right side
    2,446.74x = 3,618,151.93
  5. Step 5: Solve for x
    x = 3,618,151.93/2,446.74
  6. Step 6: Final answer
    x = 1,478.76

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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.