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Finding the Fourth Proportional to 3,176.64, 4,383 and 2,431.44

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Solution

The fourth proportional to 3,176.64, 4,383 and 2,431.44 is: 3,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.64 : 4,383 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    3,176.64/4,383 = 2,431.44/x
  3. Step 3: Cross multiply
    3,176.64x = 4,383 × 2,431.44
  4. Step 4: Simplify right side
    3,176.64x = 10,657,001.52
  5. Step 5: Solve for x
    x = 10,657,001.52/3,176.64
  6. Step 6: Final answer
    x = 3,354.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.