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Finding the Fourth Proportional to 5,108.70, 7,657.62 and 2,912.70

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Solution

The fourth proportional to 5,108.70, 7,657.62 and 2,912.70 is: 4,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.70 : 7,657.62 = 2,912.70 : x
  2. Step 2: Convert to fraction form
    5,108.70/7,657.62 = 2,912.70/x
  3. Step 3: Cross multiply
    5,108.70x = 7,657.62 × 2,912.70
  4. Step 4: Simplify right side
    5,108.70x = 22,304,349.77
  5. Step 5: Solve for x
    x = 22,304,349.77/5,108.70
  6. Step 6: Final answer
    x = 4,365.95

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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.