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Finding the Fourth Proportional to 3,121, 4,682.52 and 2,184.92

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Solution

The fourth proportional to 3,121, 4,682.52 and 2,184.92 is: 3,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121 : 4,682.52 = 2,184.92 : x
  2. Step 2: Convert to fraction form
    3,121/4,682.52 = 2,184.92/x
  3. Step 3: Cross multiply
    3,121x = 4,682.52 × 2,184.92
  4. Step 4: Simplify right side
    3,121x = 10,230,931.60
  5. Step 5: Solve for x
    x = 10,230,931.60/3,121
  6. Step 6: Final answer
    x = 3,278.09

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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.