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Finding the Fourth Proportional to 2,446.76, 3,670.13 and 985.89

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Solution

The fourth proportional to 2,446.76, 3,670.13 and 985.89 is: 1,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.76 : 3,670.13 = 985.89 : x
  2. Step 2: Convert to fraction form
    2,446.76/3,670.13 = 985.89/x
  3. Step 3: Cross multiply
    2,446.76x = 3,670.13 × 985.89
  4. Step 4: Simplify right side
    2,446.76x = 3,618,339.54
  5. Step 5: Solve for x
    x = 3,618,339.54/2,446.76
  6. Step 6: Final answer
    x = 1,478.83

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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.