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Finding the Fourth Proportional to 2,129.48, 3,193.34 and 648.22

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Solution

The fourth proportional to 2,129.48, 3,193.34 and 648.22 is: 972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.48 : 3,193.34 = 648.22 : x
  2. Step 2: Convert to fraction form
    2,129.48/3,193.34 = 648.22/x
  3. Step 3: Cross multiply
    2,129.48x = 3,193.34 × 648.22
  4. Step 4: Simplify right side
    2,129.48x = 2,069,986.85
  5. Step 5: Solve for x
    x = 2,069,986.85/2,129.48
  6. Step 6: Final answer
    x = 972.06

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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.