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Finding the Fourth Proportional to 2,109.84, 3,164.65 and 649

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Solution

The fourth proportional to 2,109.84, 3,164.65 and 649 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.84 : 3,164.65 = 649 : x
  2. Step 2: Convert to fraction form
    2,109.84/3,164.65 = 649/x
  3. Step 3: Cross multiply
    2,109.84x = 3,164.65 × 649
  4. Step 4: Simplify right side
    2,109.84x = 2,053,857.85
  5. Step 5: Solve for x
    x = 2,053,857.85/2,109.84
  6. Step 6: Final answer
    x = 973.47

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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.