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Finding the Fourth Proportional to 3,685.51, 5,085.84 and 2,006.92

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Solution

The fourth proportional to 3,685.51, 5,085.84 and 2,006.92 is: 2,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.51 : 5,085.84 = 2,006.92 : x
  2. Step 2: Convert to fraction form
    3,685.51/5,085.84 = 2,006.92/x
  3. Step 3: Cross multiply
    3,685.51x = 5,085.84 × 2,006.92
  4. Step 4: Simplify right side
    3,685.51x = 10,206,874.01
  5. Step 5: Solve for x
    x = 10,206,874.01/3,685.51
  6. Step 6: Final answer
    x = 2,769.46

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Half scale
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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.