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Finding the Fourth Proportional to 2,109.32, 3,163.99 and 648.47

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Solution

The fourth proportional to 2,109.32, 3,163.99 and 648.47 is: 972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.32 : 3,163.99 = 648.47 : x
  2. Step 2: Convert to fraction form
    2,109.32/3,163.99 = 648.47/x
  3. Step 3: Cross multiply
    2,109.32x = 3,163.99 × 648.47
  4. Step 4: Simplify right side
    2,109.32x = 2,051,735.15
  5. Step 5: Solve for x
    x = 2,051,735.15/2,109.32
  6. Step 6: Final answer
    x = 972.70

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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.