Home / 3,102.05-4,653.81-1,022.10

Finding the Fourth Proportional to 3,102.05, 4,653.81 and 1,022.10

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Solution

The fourth proportional to 3,102.05, 4,653.81 and 1,022.10 is: 1,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.05 : 4,653.81 = 1,022.10 : x
  2. Step 2: Convert to fraction form
    3,102.05/4,653.81 = 1,022.10/x
  3. Step 3: Cross multiply
    3,102.05x = 4,653.81 × 1,022.10
  4. Step 4: Simplify right side
    3,102.05x = 4,756,659.20
  5. Step 5: Solve for x
    x = 4,756,659.20/3,102.05
  6. Step 6: Final answer
    x = 1,533.39

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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.