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Finding the Fourth Proportional to 2,099.52, 3,149.76 and 1,176

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Solution

The fourth proportional to 2,099.52, 3,149.76 and 1,176 is: 1,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 3,149.76 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,099.52/3,149.76 = 1,176/x
  3. Step 3: Cross multiply
    2,099.52x = 3,149.76 × 1,176
  4. Step 4: Simplify right side
    2,099.52x = 3,704,117.76
  5. Step 5: Solve for x
    x = 3,704,117.76/2,099.52
  6. Step 6: Final answer
    x = 1,764.27

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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.