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Finding the Fourth Proportional to 3,109.88, 4,664.81 and 1,057.88

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Solution

The fourth proportional to 3,109.88, 4,664.81 and 1,057.88 is: 1,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.88 : 4,664.81 = 1,057.88 : x
  2. Step 2: Convert to fraction form
    3,109.88/4,664.81 = 1,057.88/x
  3. Step 3: Cross multiply
    3,109.88x = 4,664.81 × 1,057.88
  4. Step 4: Simplify right side
    3,109.88x = 4,934,788.52
  5. Step 5: Solve for x
    x = 4,934,788.52/3,109.88
  6. Step 6: Final answer
    x = 1,586.81

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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.