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Finding the Fourth Proportional to 2,125.89, 3,188.84 and 665.17

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Solution

The fourth proportional to 2,125.89, 3,188.84 and 665.17 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.89 : 3,188.84 = 665.17 : x
  2. Step 2: Convert to fraction form
    2,125.89/3,188.84 = 665.17/x
  3. Step 3: Cross multiply
    2,125.89x = 3,188.84 × 665.17
  4. Step 4: Simplify right side
    2,125.89x = 2,121,109.40
  5. Step 5: Solve for x
    x = 2,121,109.40/2,125.89
  6. Step 6: Final answer
    x = 997.75

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Double scale
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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.