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Finding the Fourth Proportional to 2,103.92, 3,155.84 and 643.08

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Solution

The fourth proportional to 2,103.92, 3,155.84 and 643.08 is: 964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.92 : 3,155.84 = 643.08 : x
  2. Step 2: Convert to fraction form
    2,103.92/3,155.84 = 643.08/x
  3. Step 3: Cross multiply
    2,103.92x = 3,155.84 × 643.08
  4. Step 4: Simplify right side
    2,103.92x = 2,029,457.59
  5. Step 5: Solve for x
    x = 2,029,457.59/2,103.92
  6. Step 6: Final answer
    x = 964.61

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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.