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Finding the Fourth Proportional to 2,107.69, 3,160.80 and 626.50

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Solution

The fourth proportional to 2,107.69, 3,160.80 and 626.50 is: 939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 3,160.80 = 626.50 : x
  2. Step 2: Convert to fraction form
    2,107.69/3,160.80 = 626.50/x
  3. Step 3: Cross multiply
    2,107.69x = 3,160.80 × 626.50
  4. Step 4: Simplify right side
    2,107.69x = 1,980,241.20
  5. Step 5: Solve for x
    x = 1,980,241.20/2,107.69
  6. Step 6: Final answer
    x = 939.53

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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.