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Finding the Fourth Proportional to 5,134.80, 7,086 and 2,776.92

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Solution

The fourth proportional to 5,134.80, 7,086 and 2,776.92 is: 3,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.80 : 7,086 = 2,776.92 : x
  2. Step 2: Convert to fraction form
    5,134.80/7,086 = 2,776.92/x
  3. Step 3: Cross multiply
    5,134.80x = 7,086 × 2,776.92
  4. Step 4: Simplify right side
    5,134.80x = 19,677,255.12
  5. Step 5: Solve for x
    x = 19,677,255.12/5,134.80
  6. Step 6: Final answer
    x = 3,832.14

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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.