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Finding the Fourth Proportional to 2,986.64, 4,478.13 and 1,231.10

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Solution

The fourth proportional to 2,986.64, 4,478.13 and 1,231.10 is: 1,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.64 : 4,478.13 = 1,231.10 : x
  2. Step 2: Convert to fraction form
    2,986.64/4,478.13 = 1,231.10/x
  3. Step 3: Cross multiply
    2,986.64x = 4,478.13 × 1,231.10
  4. Step 4: Simplify right side
    2,986.64x = 5,512,997.30
  5. Step 5: Solve for x
    x = 5,512,997.30/2,986.64
  6. Step 6: Final answer
    x = 1,845.89

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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.