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Finding the Fourth Proportional to 5,972.67, 8,234.46 and 5,142.30

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Solution

The fourth proportional to 5,972.67, 8,234.46 and 5,142.30 is: 7,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.67 : 8,234.46 = 5,142.30 : x
  2. Step 2: Convert to fraction form
    5,972.67/8,234.46 = 5,142.30/x
  3. Step 3: Cross multiply
    5,972.67x = 8,234.46 × 5,142.30
  4. Step 4: Simplify right side
    5,972.67x = 42,344,063.66
  5. Step 5: Solve for x
    x = 42,344,063.66/5,972.67
  6. Step 6: Final answer
    x = 7,089.64

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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.