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Finding the Fourth Proportional to 2,588.64, 3,571.74 and 2,170.68

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Solution

The fourth proportional to 2,588.64, 3,571.74 and 2,170.68 is: 2,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.64 : 3,571.74 = 2,170.68 : x
  2. Step 2: Convert to fraction form
    2,588.64/3,571.74 = 2,170.68/x
  3. Step 3: Cross multiply
    2,588.64x = 3,571.74 × 2,170.68
  4. Step 4: Simplify right side
    2,588.64x = 7,753,104.58
  5. Step 5: Solve for x
    x = 7,753,104.58/2,588.64
  6. Step 6: Final answer
    x = 2,995.05

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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.