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Finding the Fourth Proportional to 7,054.92, 9,735.84 and 3,911.13

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Solution

The fourth proportional to 7,054.92, 9,735.84 and 3,911.13 is: 5,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.92 : 9,735.84 = 3,911.13 : x
  2. Step 2: Convert to fraction form
    7,054.92/9,735.84 = 3,911.13/x
  3. Step 3: Cross multiply
    7,054.92x = 9,735.84 × 3,911.13
  4. Step 4: Simplify right side
    7,054.92x = 38,078,135.90
  5. Step 5: Solve for x
    x = 38,078,135.90/7,054.92
  6. Step 6: Final answer
    x = 5,397.39

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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.