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Finding the Fourth Proportional to 2,717, 3,748.30 and 2,086.44

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Solution

The fourth proportional to 2,717, 3,748.30 and 2,086.44 is: 2,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717 : 3,748.30 = 2,086.44 : x
  2. Step 2: Convert to fraction form
    2,717/3,748.30 = 2,086.44/x
  3. Step 3: Cross multiply
    2,717x = 3,748.30 × 2,086.44
  4. Step 4: Simplify right side
    2,717x = 7,820,603.05
  5. Step 5: Solve for x
    x = 7,820,603.05/2,717
  6. Step 6: Final answer
    x = 2,878.40

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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.