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Finding the Fourth Proportional to 3,658.69, 5,488.90 and 1,193.51

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Solution

The fourth proportional to 3,658.69, 5,488.90 and 1,193.51 is: 1,790.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.69 : 5,488.90 = 1,193.51 : x
  2. Step 2: Convert to fraction form
    3,658.69/5,488.90 = 1,193.51/x
  3. Step 3: Cross multiply
    3,658.69x = 5,488.90 × 1,193.51
  4. Step 4: Simplify right side
    3,658.69x = 6,551,051.67
  5. Step 5: Solve for x
    x = 6,551,051.67/3,658.69
  6. Step 6: Final answer
    x = 1,790.55

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1.5x scale

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.