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Finding the Fourth Proportional to 2,679.54, 3,697.23 and 1,934.61

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Solution

The fourth proportional to 2,679.54, 3,697.23 and 1,934.61 is: 2,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.54 : 3,697.23 = 1,934.61 : x
  2. Step 2: Convert to fraction form
    2,679.54/3,697.23 = 1,934.61/x
  3. Step 3: Cross multiply
    2,679.54x = 3,697.23 × 1,934.61
  4. Step 4: Simplify right side
    2,679.54x = 7,152,698.13
  5. Step 5: Solve for x
    x = 7,152,698.13/2,679.54
  6. Step 6: Final answer
    x = 2,669.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.