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Finding the Fourth Proportional to 7,391.76, 11,077.92 and 3,497.28

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Solution

The fourth proportional to 7,391.76, 11,077.92 and 3,497.28 is: 5,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.76 : 11,077.92 = 3,497.28 : x
  2. Step 2: Convert to fraction form
    7,391.76/11,077.92 = 3,497.28/x
  3. Step 3: Cross multiply
    7,391.76x = 11,077.92 × 3,497.28
  4. Step 4: Simplify right side
    7,391.76x = 38,742,588.06
  5. Step 5: Solve for x
    x = 38,742,588.06/7,391.76
  6. Step 6: Final answer
    x = 5,241.32

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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.