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Finding the Fourth Proportional to 2,690.70, 3,713.14 and 1,642.75

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Solution

The fourth proportional to 2,690.70, 3,713.14 and 1,642.75 is: 2,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.70 : 3,713.14 = 1,642.75 : x
  2. Step 2: Convert to fraction form
    2,690.70/3,713.14 = 1,642.75/x
  3. Step 3: Cross multiply
    2,690.70x = 3,713.14 × 1,642.75
  4. Step 4: Simplify right side
    2,690.70x = 6,099,760.74
  5. Step 5: Solve for x
    x = 6,099,760.74/2,690.70
  6. Step 6: Final answer
    x = 2,266.98

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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.