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Finding the Fourth Proportional to 8,809.31, 13,214.03 and 2,965.83

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Solution

The fourth proportional to 8,809.31, 13,214.03 and 2,965.83 is: 4,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.31 : 13,214.03 = 2,965.83 : x
  2. Step 2: Convert to fraction form
    8,809.31/13,214.03 = 2,965.83/x
  3. Step 3: Cross multiply
    8,809.31x = 13,214.03 × 2,965.83
  4. Step 4: Simplify right side
    8,809.31x = 39,190,551.77
  5. Step 5: Solve for x
    x = 39,190,551.77/8,809.31
  6. Step 6: Final answer
    x = 4,448.77

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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.