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Finding the Fourth Proportional to 3,261.32, 4,892.70 and 953

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Solution

The fourth proportional to 3,261.32, 4,892.70 and 953 is: 1,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.32 : 4,892.70 = 953 : x
  2. Step 2: Convert to fraction form
    3,261.32/4,892.70 = 953/x
  3. Step 3: Cross multiply
    3,261.32x = 4,892.70 × 953
  4. Step 4: Simplify right side
    3,261.32x = 4,662,743.10
  5. Step 5: Solve for x
    x = 4,662,743.10/3,261.32
  6. Step 6: Final answer
    x = 1,429.71

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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.