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Finding the Fourth Proportional to 2,079.97, 3,120.09 and 693.40

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Solution

The fourth proportional to 2,079.97, 3,120.09 and 693.40 is: 1,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.97 : 3,120.09 = 693.40 : x
  2. Step 2: Convert to fraction form
    2,079.97/3,120.09 = 693.40/x
  3. Step 3: Cross multiply
    2,079.97x = 3,120.09 × 693.40
  4. Step 4: Simplify right side
    2,079.97x = 2,163,470.41
  5. Step 5: Solve for x
    x = 2,163,470.41/2,079.97
  6. Step 6: Final answer
    x = 1,040.15

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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.