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Finding the Fourth Proportional to 2,597.68, 3,914.05 and 2,145.59

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Solution

The fourth proportional to 2,597.68, 3,914.05 and 2,145.59 is: 3,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.68 : 3,914.05 = 2,145.59 : x
  2. Step 2: Convert to fraction form
    2,597.68/3,914.05 = 2,145.59/x
  3. Step 3: Cross multiply
    2,597.68x = 3,914.05 × 2,145.59
  4. Step 4: Simplify right side
    2,597.68x = 8,397,926.97
  5. Step 5: Solve for x
    x = 8,397,926.97/2,597.68
  6. Step 6: Final answer
    x = 3,232.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.