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Finding the Fourth Proportional to 2,107.66, 3,158.90 and 1,491.54

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Solution

The fourth proportional to 2,107.66, 3,158.90 and 1,491.54 is: 2,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.66 : 3,158.90 = 1,491.54 : x
  2. Step 2: Convert to fraction form
    2,107.66/3,158.90 = 1,491.54/x
  3. Step 3: Cross multiply
    2,107.66x = 3,158.90 × 1,491.54
  4. Step 4: Simplify right side
    2,107.66x = 4,711,625.71
  5. Step 5: Solve for x
    x = 4,711,625.71/2,107.66
  6. Step 6: Final answer
    x = 2,235.48

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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.