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Finding the Fourth Proportional to 2,660.04, 3,990.12 and 811.20

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Solution

The fourth proportional to 2,660.04, 3,990.12 and 811.20 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.04 : 3,990.12 = 811.20 : x
  2. Step 2: Convert to fraction form
    2,660.04/3,990.12 = 811.20/x
  3. Step 3: Cross multiply
    2,660.04x = 3,990.12 × 811.20
  4. Step 4: Simplify right side
    2,660.04x = 3,236,785.34
  5. Step 5: Solve for x
    x = 3,236,785.34/2,660.04
  6. Step 6: Final answer
    x = 1,216.82

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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.