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Finding the Fourth Proportional to 2,129.15, 3,193.73 and 648.38

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Solution

The fourth proportional to 2,129.15, 3,193.73 and 648.38 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.15 : 3,193.73 = 648.38 : x
  2. Step 2: Convert to fraction form
    2,129.15/3,193.73 = 648.38/x
  3. Step 3: Cross multiply
    2,129.15x = 3,193.73 × 648.38
  4. Step 4: Simplify right side
    2,129.15x = 2,070,755.40
  5. Step 5: Solve for x
    x = 2,070,755.40/2,129.15
  6. Step 6: Final answer
    x = 972.57

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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.