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Finding the Fourth Proportional to 4,777.74, 7,168.02 and 2,585.88

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Solution

The fourth proportional to 4,777.74, 7,168.02 and 2,585.88 is: 3,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.74 : 7,168.02 = 2,585.88 : x
  2. Step 2: Convert to fraction form
    4,777.74/7,168.02 = 2,585.88/x
  3. Step 3: Cross multiply
    4,777.74x = 7,168.02 × 2,585.88
  4. Step 4: Simplify right side
    4,777.74x = 18,535,639.56
  5. Step 5: Solve for x
    x = 18,535,639.56/4,777.74
  6. Step 6: Final answer
    x = 3,879.58

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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.