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Finding the Fourth Proportional to 5,006.28, 7,505.28 and 2,086.68

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Solution

The fourth proportional to 5,006.28, 7,505.28 and 2,086.68 is: 3,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.28 : 7,505.28 = 2,086.68 : x
  2. Step 2: Convert to fraction form
    5,006.28/7,505.28 = 2,086.68/x
  3. Step 3: Cross multiply
    5,006.28x = 7,505.28 × 2,086.68
  4. Step 4: Simplify right side
    5,006.28x = 15,661,117.67
  5. Step 5: Solve for x
    x = 15,661,117.67/5,006.28
  6. Step 6: Final answer
    x = 3,128.29

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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.