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Finding the Fourth Proportional to 2,108.96, 3,163.32 and 648.16

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Solution

The fourth proportional to 2,108.96, 3,163.32 and 648.16 is: 972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.96 : 3,163.32 = 648.16 : x
  2. Step 2: Convert to fraction form
    2,108.96/3,163.32 = 648.16/x
  3. Step 3: Cross multiply
    2,108.96x = 3,163.32 × 648.16
  4. Step 4: Simplify right side
    2,108.96x = 2,050,337.49
  5. Step 5: Solve for x
    x = 2,050,337.49/2,108.96
  6. Step 6: Final answer
    x = 972.20

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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.