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Finding the Fourth Proportional to 2,103.81, 3,156.63 and 872.13

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Solution

The fourth proportional to 2,103.81, 3,156.63 and 872.13 is: 1,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.81 : 3,156.63 = 872.13 : x
  2. Step 2: Convert to fraction form
    2,103.81/3,156.63 = 872.13/x
  3. Step 3: Cross multiply
    2,103.81x = 3,156.63 × 872.13
  4. Step 4: Simplify right side
    2,103.81x = 2,752,991.72
  5. Step 5: Solve for x
    x = 2,752,991.72/2,103.81
  6. Step 6: Final answer
    x = 1,308.57

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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.