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Finding the Fourth Proportional to 3,657.84, 5,047.83 and 2,085.90

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Solution

The fourth proportional to 3,657.84, 5,047.83 and 2,085.90 is: 2,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.84 : 5,047.83 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    3,657.84/5,047.83 = 2,085.90/x
  3. Step 3: Cross multiply
    3,657.84x = 5,047.83 × 2,085.90
  4. Step 4: Simplify right side
    3,657.84x = 10,529,268.60
  5. Step 5: Solve for x
    x = 10,529,268.60/3,657.84
  6. Step 6: Final answer
    x = 2,878.55

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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.