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Finding the Fourth Proportional to 2,125.86, 3,188.79 and 665.13

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Solution

The fourth proportional to 2,125.86, 3,188.79 and 665.13 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.86 : 3,188.79 = 665.13 : x
  2. Step 2: Convert to fraction form
    2,125.86/3,188.79 = 665.13/x
  3. Step 3: Cross multiply
    2,125.86x = 3,188.79 × 665.13
  4. Step 4: Simplify right side
    2,125.86x = 2,120,959.89
  5. Step 5: Solve for x
    x = 2,120,959.89/2,125.86
  6. Step 6: Final answer
    x = 997.70

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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.