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Finding the Fourth Proportional to 2,101.69, 3,151.80 and 620.50

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Solution

The fourth proportional to 2,101.69, 3,151.80 and 620.50 is: 930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.69 : 3,151.80 = 620.50 : x
  2. Step 2: Convert to fraction form
    2,101.69/3,151.80 = 620.50/x
  3. Step 3: Cross multiply
    2,101.69x = 3,151.80 × 620.50
  4. Step 4: Simplify right side
    2,101.69x = 1,955,691.90
  5. Step 5: Solve for x
    x = 1,955,691.90/2,101.69
  6. Step 6: Final answer
    x = 930.53

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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.