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Finding the Fourth Proportional to 2,135.99, 2,947.47 and 1,251.78

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Solution

The fourth proportional to 2,135.99, 2,947.47 and 1,251.78 is: 1,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.99 : 2,947.47 = 1,251.78 : x
  2. Step 2: Convert to fraction form
    2,135.99/2,947.47 = 1,251.78/x
  3. Step 3: Cross multiply
    2,135.99x = 2,947.47 × 1,251.78
  4. Step 4: Simplify right side
    2,135.99x = 3,689,584.00
  5. Step 5: Solve for x
    x = 3,689,584.00/2,135.99
  6. Step 6: Final answer
    x = 1,727.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.