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Finding the Fourth Proportional to 3,892.04, 5,371 and 2,123.72

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Solution

The fourth proportional to 3,892.04, 5,371 and 2,123.72 is: 2,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.04 : 5,371 = 2,123.72 : x
  2. Step 2: Convert to fraction form
    3,892.04/5,371 = 2,123.72/x
  3. Step 3: Cross multiply
    3,892.04x = 5,371 × 2,123.72
  4. Step 4: Simplify right side
    3,892.04x = 11,406,500.12
  5. Step 5: Solve for x
    x = 11,406,500.12/3,892.04
  6. Step 6: Final answer
    x = 2,930.73

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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.