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Finding the Fourth Proportional to 2,658.66, 3,989.61 and 1,197.96

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Solution

The fourth proportional to 2,658.66, 3,989.61 and 1,197.96 is: 1,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.66 : 3,989.61 = 1,197.96 : x
  2. Step 2: Convert to fraction form
    2,658.66/3,989.61 = 1,197.96/x
  3. Step 3: Cross multiply
    2,658.66x = 3,989.61 × 1,197.96
  4. Step 4: Simplify right side
    2,658.66x = 4,779,393.20
  5. Step 5: Solve for x
    x = 4,779,393.20/2,658.66
  6. Step 6: Final answer
    x = 1,797.67

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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.