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Finding the Fourth Proportional to 8,906.86, 13,356.20 and 2,580.30

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Solution

The fourth proportional to 8,906.86, 13,356.20 and 2,580.30 is: 3,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.86 : 13,356.20 = 2,580.30 : x
  2. Step 2: Convert to fraction form
    8,906.86/13,356.20 = 2,580.30/x
  3. Step 3: Cross multiply
    8,906.86x = 13,356.20 × 2,580.30
  4. Step 4: Simplify right side
    8,906.86x = 34,463,002.86
  5. Step 5: Solve for x
    x = 34,463,002.86/8,906.86
  6. Step 6: Final answer
    x = 3,869.27

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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.