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Finding the Fourth Proportional to 2,658.54, 3,989.30 and 1,099.68

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Solution

The fourth proportional to 2,658.54, 3,989.30 and 1,099.68 is: 1,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.54 : 3,989.30 = 1,099.68 : x
  2. Step 2: Convert to fraction form
    2,658.54/3,989.30 = 1,099.68/x
  3. Step 3: Cross multiply
    2,658.54x = 3,989.30 × 1,099.68
  4. Step 4: Simplify right side
    2,658.54x = 4,386,953.42
  5. Step 5: Solve for x
    x = 4,386,953.42/2,658.54
  6. Step 6: Final answer
    x = 1,650.14

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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.