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Finding the Fourth Proportional to 3,391.84, 5,087.76 and 1,658.44

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Solution

The fourth proportional to 3,391.84, 5,087.76 and 1,658.44 is: 2,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.84 : 5,087.76 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    3,391.84/5,087.76 = 1,658.44/x
  3. Step 3: Cross multiply
    3,391.84x = 5,087.76 × 1,658.44
  4. Step 4: Simplify right side
    3,391.84x = 8,437,744.69
  5. Step 5: Solve for x
    x = 8,437,744.69/3,391.84
  6. Step 6: Final answer
    x = 2,487.66

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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.