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Finding the Fourth Proportional to 3,805.95, 5,705.03 and 2,159.02

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Solution

The fourth proportional to 3,805.95, 5,705.03 and 2,159.02 is: 3,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.95 : 5,705.03 = 2,159.02 : x
  2. Step 2: Convert to fraction form
    3,805.95/5,705.03 = 2,159.02/x
  3. Step 3: Cross multiply
    3,805.95x = 5,705.03 × 2,159.02
  4. Step 4: Simplify right side
    3,805.95x = 12,317,262.33
  5. Step 5: Solve for x
    x = 12,317,262.33/3,805.95
  6. Step 6: Final answer
    x = 3,236.32

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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.