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Finding the Fourth Proportional to 4,776.72, 7,162.92 and 2,309.64

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Solution

The fourth proportional to 4,776.72, 7,162.92 and 2,309.64 is: 3,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.72 : 7,162.92 = 2,309.64 : x
  2. Step 2: Convert to fraction form
    4,776.72/7,162.92 = 2,309.64/x
  3. Step 3: Cross multiply
    4,776.72x = 7,162.92 × 2,309.64
  4. Step 4: Simplify right side
    4,776.72x = 16,543,766.55
  5. Step 5: Solve for x
    x = 16,543,766.55/4,776.72
  6. Step 6: Final answer
    x = 3,463.42

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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.