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Finding the Fourth Proportional to 2,109.80, 3,165 and 649.16

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Solution

The fourth proportional to 2,109.80, 3,165 and 649.16 is: 973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 3,165 = 649.16 : x
  2. Step 2: Convert to fraction form
    2,109.80/3,165 = 649.16/x
  3. Step 3: Cross multiply
    2,109.80x = 3,165 × 649.16
  4. Step 4: Simplify right side
    2,109.80x = 2,054,591.40
  5. Step 5: Solve for x
    x = 2,054,591.40/2,109.80
  6. Step 6: Final answer
    x = 973.83

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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.