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Finding the Fourth Proportional to 3,462.76, 4,778.79 and 2,282.98

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Solution

The fourth proportional to 3,462.76, 4,778.79 and 2,282.98 is: 3,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.76 : 4,778.79 = 2,282.98 : x
  2. Step 2: Convert to fraction form
    3,462.76/4,778.79 = 2,282.98/x
  3. Step 3: Cross multiply
    3,462.76x = 4,778.79 × 2,282.98
  4. Step 4: Simplify right side
    3,462.76x = 10,909,881.99
  5. Step 5: Solve for x
    x = 10,909,881.99/3,462.76
  6. Step 6: Final answer
    x = 3,150.63

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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.