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Finding the Fourth Proportional to 3,322.80, 4,981.80 and 1,862.40

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Solution

The fourth proportional to 3,322.80, 4,981.80 and 1,862.40 is: 2,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.80 : 4,981.80 = 1,862.40 : x
  2. Step 2: Convert to fraction form
    3,322.80/4,981.80 = 1,862.40/x
  3. Step 3: Cross multiply
    3,322.80x = 4,981.80 × 1,862.40
  4. Step 4: Simplify right side
    3,322.80x = 9,278,104.32
  5. Step 5: Solve for x
    x = 9,278,104.32/3,322.80
  6. Step 6: Final answer
    x = 2,792.25

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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.