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Finding the Fourth Proportional to 5,134.86, 7,086.11 and 2,777.00

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Solution

The fourth proportional to 5,134.86, 7,086.11 and 2,777.00 is: 3,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.86 : 7,086.11 = 2,777.00 : x
  2. Step 2: Convert to fraction form
    5,134.86/7,086.11 = 2,777.00/x
  3. Step 3: Cross multiply
    5,134.86x = 7,086.11 × 2,777.00
  4. Step 4: Simplify right side
    5,134.86x = 19,678,078.15
  5. Step 5: Solve for x
    x = 19,678,078.15/5,134.86
  6. Step 6: Final answer
    x = 3,832.25

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1.5x scale

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.