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Finding the Fourth Proportional to 2,106.45, 3,158.88 and 625.38

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Solution

The fourth proportional to 2,106.45, 3,158.88 and 625.38 is: 937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.45 : 3,158.88 = 625.38 : x
  2. Step 2: Convert to fraction form
    2,106.45/3,158.88 = 625.38/x
  3. Step 3: Cross multiply
    2,106.45x = 3,158.88 × 625.38
  4. Step 4: Simplify right side
    2,106.45x = 1,975,500.37
  5. Step 5: Solve for x
    x = 1,975,500.37/2,106.45
  6. Step 6: Final answer
    x = 937.83

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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.