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Finding the Fourth Proportional to 5,237.86, 7,857 and 2,606.62

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Solution

The fourth proportional to 5,237.86, 7,857 and 2,606.62 is: 3,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.86 : 7,857 = 2,606.62 : x
  2. Step 2: Convert to fraction form
    5,237.86/7,857 = 2,606.62/x
  3. Step 3: Cross multiply
    5,237.86x = 7,857 × 2,606.62
  4. Step 4: Simplify right side
    5,237.86x = 20,480,213.34
  5. Step 5: Solve for x
    x = 20,480,213.34/5,237.86
  6. Step 6: Final answer
    x = 3,910.03

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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.