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Finding the Fourth Proportional to 8,965.56, 13,448.34 and 2,813.88

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Solution

The fourth proportional to 8,965.56, 13,448.34 and 2,813.88 is: 4,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.56 : 13,448.34 = 2,813.88 : x
  2. Step 2: Convert to fraction form
    8,965.56/13,448.34 = 2,813.88/x
  3. Step 3: Cross multiply
    8,965.56x = 13,448.34 × 2,813.88
  4. Step 4: Simplify right side
    8,965.56x = 37,842,014.96
  5. Step 5: Solve for x
    x = 37,842,014.96/8,965.56
  6. Step 6: Final answer
    x = 4,220.82

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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.