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Finding the Fourth Proportional to 2,103.53, 3,155.79 and 642.69

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Solution

The fourth proportional to 2,103.53, 3,155.79 and 642.69 is: 964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.53 : 3,155.79 = 642.69 : x
  2. Step 2: Convert to fraction form
    2,103.53/3,155.79 = 642.69/x
  3. Step 3: Cross multiply
    2,103.53x = 3,155.79 × 642.69
  4. Step 4: Simplify right side
    2,103.53x = 2,028,197.09
  5. Step 5: Solve for x
    x = 2,028,197.09/2,103.53
  6. Step 6: Final answer
    x = 964.19

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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.