Home / 2,119.60-3,180.56-821.12

Finding the Fourth Proportional to 2,119.60, 3,180.56 and 821.12

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Solution

The fourth proportional to 2,119.60, 3,180.56 and 821.12 is: 1,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.60 : 3,180.56 = 821.12 : x
  2. Step 2: Convert to fraction form
    2,119.60/3,180.56 = 821.12/x
  3. Step 3: Cross multiply
    2,119.60x = 3,180.56 × 821.12
  4. Step 4: Simplify right side
    2,119.60x = 2,611,621.43
  5. Step 5: Solve for x
    x = 2,611,621.43/2,119.60
  6. Step 6: Final answer
    x = 1,232.13

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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.