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Finding the Fourth Proportional to 5,108.59, 7,657.43 and 2,912.59

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Solution

The fourth proportional to 5,108.59, 7,657.43 and 2,912.59 is: 4,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.59 : 7,657.43 = 2,912.59 : x
  2. Step 2: Convert to fraction form
    5,108.59/7,657.43 = 2,912.59/x
  3. Step 3: Cross multiply
    5,108.59x = 7,657.43 × 2,912.59
  4. Step 4: Simplify right side
    5,108.59x = 22,302,915.76
  5. Step 5: Solve for x
    x = 22,302,915.76/5,108.59
  6. Step 6: Final answer
    x = 4,365.77

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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.