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Finding the Fourth Proportional to 2,690.51, 3,713.20 and 1,571.72

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Solution

The fourth proportional to 2,690.51, 3,713.20 and 1,571.72 is: 2,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.51 : 3,713.20 = 1,571.72 : x
  2. Step 2: Convert to fraction form
    2,690.51/3,713.20 = 1,571.72/x
  3. Step 3: Cross multiply
    2,690.51x = 3,713.20 × 1,571.72
  4. Step 4: Simplify right side
    2,690.51x = 5,836,102.85
  5. Step 5: Solve for x
    x = 5,836,102.85/2,690.51
  6. Step 6: Final answer
    x = 2,169.15

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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.