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Finding the Fourth Proportional to 2,109.21, 3,164.11 and 648.48

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Solution

The fourth proportional to 2,109.21, 3,164.11 and 648.48 is: 972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.21 : 3,164.11 = 648.48 : x
  2. Step 2: Convert to fraction form
    2,109.21/3,164.11 = 648.48/x
  3. Step 3: Cross multiply
    2,109.21x = 3,164.11 × 648.48
  4. Step 4: Simplify right side
    2,109.21x = 2,051,862.05
  5. Step 5: Solve for x
    x = 2,051,862.05/2,109.21
  6. Step 6: Final answer
    x = 972.81

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1.5x scale

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.