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Finding the Fourth Proportional to 7,076.60, 9,762.92 and 4,091.90

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Solution

The fourth proportional to 7,076.60, 9,762.92 and 4,091.90 is: 5,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.60 : 9,762.92 = 4,091.90 : x
  2. Step 2: Convert to fraction form
    7,076.60/9,762.92 = 4,091.90/x
  3. Step 3: Cross multiply
    7,076.60x = 9,762.92 × 4,091.90
  4. Step 4: Simplify right side
    7,076.60x = 39,948,892.35
  5. Step 5: Solve for x
    x = 39,948,892.35/7,076.60
  6. Step 6: Final answer
    x = 5,645.21

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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.