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Finding the Fourth Proportional to 7,777.56, 11,671.20 and 3,160.56

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Solution

The fourth proportional to 7,777.56, 11,671.20 and 3,160.56 is: 4,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.56 : 11,671.20 = 3,160.56 : x
  2. Step 2: Convert to fraction form
    7,777.56/11,671.20 = 3,160.56/x
  3. Step 3: Cross multiply
    7,777.56x = 11,671.20 × 3,160.56
  4. Step 4: Simplify right side
    7,777.56x = 36,887,527.87
  5. Step 5: Solve for x
    x = 36,887,527.87/7,777.56
  6. Step 6: Final answer
    x = 4,742.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.