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Finding the Fourth Proportional to 2,126.96, 3,188.90 and 665.32

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Solution

The fourth proportional to 2,126.96, 3,188.90 and 665.32 is: 997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 3,188.90 = 665.32 : x
  2. Step 2: Convert to fraction form
    2,126.96/3,188.90 = 665.32/x
  3. Step 3: Cross multiply
    2,126.96x = 3,188.90 × 665.32
  4. Step 4: Simplify right side
    2,126.96x = 2,121,638.95
  5. Step 5: Solve for x
    x = 2,121,638.95/2,126.96
  6. Step 6: Final answer
    x = 997.50

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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.