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Finding the Fourth Proportional to 4,142.81, 6,212.70 and 1,368.70

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Solution

The fourth proportional to 4,142.81, 6,212.70 and 1,368.70 is: 2,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.81 : 6,212.70 = 1,368.70 : x
  2. Step 2: Convert to fraction form
    4,142.81/6,212.70 = 1,368.70/x
  3. Step 3: Cross multiply
    4,142.81x = 6,212.70 × 1,368.70
  4. Step 4: Simplify right side
    4,142.81x = 8,503,306.96
  5. Step 5: Solve for x
    x = 8,503,306.96/4,142.81
  6. Step 6: Final answer
    x = 2,052.54

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1.5x scale

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.