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Finding the Fourth Proportional to 2,079.68, 3,099.78 and 1,921.68

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Solution

The fourth proportional to 2,079.68, 3,099.78 and 1,921.68 is: 2,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.68 : 3,099.78 = 1,921.68 : x
  2. Step 2: Convert to fraction form
    2,079.68/3,099.78 = 1,921.68/x
  3. Step 3: Cross multiply
    2,079.68x = 3,099.78 × 1,921.68
  4. Step 4: Simplify right side
    2,079.68x = 5,956,785.23
  5. Step 5: Solve for x
    x = 5,956,785.23/2,079.68
  6. Step 6: Final answer
    x = 2,864.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.