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Finding the Fourth Proportional to 2,129.05, 3,187.63 and 1,934.20

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Solution

The fourth proportional to 2,129.05, 3,187.63 and 1,934.20 is: 2,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.05 : 3,187.63 = 1,934.20 : x
  2. Step 2: Convert to fraction form
    2,129.05/3,187.63 = 1,934.20/x
  3. Step 3: Cross multiply
    2,129.05x = 3,187.63 × 1,934.20
  4. Step 4: Simplify right side
    2,129.05x = 6,165,513.95
  5. Step 5: Solve for x
    x = 6,165,513.95/2,129.05
  6. Step 6: Final answer
    x = 2,895.90

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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.