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Finding the Fourth Proportional to 13,991.69, 20,987.60 and 5,671.87

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Solution

The fourth proportional to 13,991.69, 20,987.60 and 5,671.87 is: 8,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.69 : 20,987.60 = 5,671.87 : x
  2. Step 2: Convert to fraction form
    13,991.69/20,987.60 = 5,671.87/x
  3. Step 3: Cross multiply
    13,991.69x = 20,987.60 × 5,671.87
  4. Step 4: Simplify right side
    13,991.69x = 119,038,857.98
  5. Step 5: Solve for x
    x = 119,038,857.98/13,991.69
  6. Step 6: Final answer
    x = 8,507.82

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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.