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Finding the Fourth Proportional to 3,658.55, 5,488.65 and 1,709.69

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Solution

The fourth proportional to 3,658.55, 5,488.65 and 1,709.69 is: 2,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.55 : 5,488.65 = 1,709.69 : x
  2. Step 2: Convert to fraction form
    3,658.55/5,488.65 = 1,709.69/x
  3. Step 3: Cross multiply
    3,658.55x = 5,488.65 × 1,709.69
  4. Step 4: Simplify right side
    3,658.55x = 9,383,890.02
  5. Step 5: Solve for x
    x = 9,383,890.02/3,658.55
  6. Step 6: Final answer
    x = 2,564.92

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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.