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Finding the Fourth Proportional to 2,805.70, 4,204.74 and 1,489.12

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Solution

The fourth proportional to 2,805.70, 4,204.74 and 1,489.12 is: 2,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.70 : 4,204.74 = 1,489.12 : x
  2. Step 2: Convert to fraction form
    2,805.70/4,204.74 = 1,489.12/x
  3. Step 3: Cross multiply
    2,805.70x = 4,204.74 × 1,489.12
  4. Step 4: Simplify right side
    2,805.70x = 6,261,362.43
  5. Step 5: Solve for x
    x = 6,261,362.43/2,805.70
  6. Step 6: Final answer
    x = 2,231.66

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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.