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Finding the Fourth Proportional to 20,735.75, 31,108.98 and 5,945.75

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Solution

The fourth proportional to 20,735.75, 31,108.98 and 5,945.75 is: 8,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.75 : 31,108.98 = 5,945.75 : x
  2. Step 2: Convert to fraction form
    20,735.75/31,108.98 = 5,945.75/x
  3. Step 3: Cross multiply
    20,735.75x = 31,108.98 × 5,945.75
  4. Step 4: Simplify right side
    20,735.75x = 184,966,062.29
  5. Step 5: Solve for x
    x = 184,966,062.29/20,735.75
  6. Step 6: Final answer
    x = 8,920.16

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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.