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Finding the Fourth Proportional to 2,086.40, 3,129.54 and 625.56

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Solution

The fourth proportional to 2,086.40, 3,129.54 and 625.56 is: 938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.40 : 3,129.54 = 625.56 : x
  2. Step 2: Convert to fraction form
    2,086.40/3,129.54 = 625.56/x
  3. Step 3: Cross multiply
    2,086.40x = 3,129.54 × 625.56
  4. Step 4: Simplify right side
    2,086.40x = 1,957,715.04
  5. Step 5: Solve for x
    x = 1,957,715.04/2,086.40
  6. Step 6: Final answer
    x = 938.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.