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Finding the Fourth Proportional to 8,263.92, 11,408.04 and 5,435.40

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Solution

The fourth proportional to 8,263.92, 11,408.04 and 5,435.40 is: 7,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.92 : 11,408.04 = 5,435.40 : x
  2. Step 2: Convert to fraction form
    8,263.92/11,408.04 = 5,435.40/x
  3. Step 3: Cross multiply
    8,263.92x = 11,408.04 × 5,435.40
  4. Step 4: Simplify right side
    8,263.92x = 62,007,260.62
  5. Step 5: Solve for x
    x = 62,007,260.62/8,263.92
  6. Step 6: Final answer
    x = 7,503.37

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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.