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Finding the Fourth Proportional to 6,991.33, 9,648.03 and 4,007.02

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Solution

The fourth proportional to 6,991.33, 9,648.03 and 4,007.02 is: 5,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.33 : 9,648.03 = 4,007.02 : x
  2. Step 2: Convert to fraction form
    6,991.33/9,648.03 = 4,007.02/x
  3. Step 3: Cross multiply
    6,991.33x = 9,648.03 × 4,007.02
  4. Step 4: Simplify right side
    6,991.33x = 38,659,849.17
  5. Step 5: Solve for x
    x = 38,659,849.17/6,991.33
  6. Step 6: Final answer
    x = 5,529.68

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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.