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Finding the Fourth Proportional to 3,322.99, 4,981.29 and 1,242.42

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Solution

The fourth proportional to 3,322.99, 4,981.29 and 1,242.42 is: 1,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.99 : 4,981.29 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    3,322.99/4,981.29 = 1,242.42/x
  3. Step 3: Cross multiply
    3,322.99x = 4,981.29 × 1,242.42
  4. Step 4: Simplify right side
    3,322.99x = 6,188,854.32
  5. Step 5: Solve for x
    x = 6,188,854.32/3,322.99
  6. Step 6: Final answer
    x = 1,862.44

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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.