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Finding the Fourth Proportional to 3,322.86, 4,981.05 and 2,830.38

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Solution

The fourth proportional to 3,322.86, 4,981.05 and 2,830.38 is: 4,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.86 : 4,981.05 = 2,830.38 : x
  2. Step 2: Convert to fraction form
    3,322.86/4,981.05 = 2,830.38/x
  3. Step 3: Cross multiply
    3,322.86x = 4,981.05 × 2,830.38
  4. Step 4: Simplify right side
    3,322.86x = 14,098,264.30
  5. Step 5: Solve for x
    x = 14,098,264.30/3,322.86
  6. Step 6: Final answer
    x = 4,242.81

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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.