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Finding the Fourth Proportional to 7,648.28, 11,471.13 and 2,100.33

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Solution

The fourth proportional to 7,648.28, 11,471.13 and 2,100.33 is: 3,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.28 : 11,471.13 = 2,100.33 : x
  2. Step 2: Convert to fraction form
    7,648.28/11,471.13 = 2,100.33/x
  3. Step 3: Cross multiply
    7,648.28x = 11,471.13 × 2,100.33
  4. Step 4: Simplify right side
    7,648.28x = 24,093,158.47
  5. Step 5: Solve for x
    x = 24,093,158.47/7,648.28
  6. Step 6: Final answer
    x = 3,150.14

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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.