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Finding the Fourth Proportional to 8,991.64, 13,486.80 and 3,797

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Solution

The fourth proportional to 8,991.64, 13,486.80 and 3,797 is: 5,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.64 : 13,486.80 = 3,797 : x
  2. Step 2: Convert to fraction form
    8,991.64/13,486.80 = 3,797/x
  3. Step 3: Cross multiply
    8,991.64x = 13,486.80 × 3,797
  4. Step 4: Simplify right side
    8,991.64x = 51,209,379.60
  5. Step 5: Solve for x
    x = 51,209,379.60/8,991.64
  6. Step 6: Final answer
    x = 5,695.22

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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.