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Finding the Fourth Proportional to 3,174.40, 4,748.10 and 2,847.70

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Solution

The fourth proportional to 3,174.40, 4,748.10 and 2,847.70 is: 4,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.40 : 4,748.10 = 2,847.70 : x
  2. Step 2: Convert to fraction form
    3,174.40/4,748.10 = 2,847.70/x
  3. Step 3: Cross multiply
    3,174.40x = 4,748.10 × 2,847.70
  4. Step 4: Simplify right side
    3,174.40x = 13,521,164.37
  5. Step 5: Solve for x
    x = 13,521,164.37/3,174.40
  6. Step 6: Final answer
    x = 4,259.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.