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Finding the Fourth Proportional to 5,174.70, 7,142.22 and 3,406.50

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Solution

The fourth proportional to 5,174.70, 7,142.22 and 3,406.50 is: 4,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.70 : 7,142.22 = 3,406.50 : x
  2. Step 2: Convert to fraction form
    5,174.70/7,142.22 = 3,406.50/x
  3. Step 3: Cross multiply
    5,174.70x = 7,142.22 × 3,406.50
  4. Step 4: Simplify right side
    5,174.70x = 24,329,972.43
  5. Step 5: Solve for x
    x = 24,329,972.43/5,174.70
  6. Step 6: Final answer
    x = 4,701.72

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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.