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Finding the Fourth Proportional to 3,658.84, 5,050.10 and 2,087.84

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Solution

The fourth proportional to 3,658.84, 5,050.10 and 2,087.84 is: 2,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.84 : 5,050.10 = 2,087.84 : x
  2. Step 2: Convert to fraction form
    3,658.84/5,050.10 = 2,087.84/x
  3. Step 3: Cross multiply
    3,658.84x = 5,050.10 × 2,087.84
  4. Step 4: Simplify right side
    3,658.84x = 10,543,800.78
  5. Step 5: Solve for x
    x = 10,543,800.78/3,658.84
  6. Step 6: Final answer
    x = 2,881.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.