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Finding the Fourth Proportional to 8,720.84, 13,086 and 3,790.46

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Solution

The fourth proportional to 8,720.84, 13,086 and 3,790.46 is: 5,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.84 : 13,086 = 3,790.46 : x
  2. Step 2: Convert to fraction form
    8,720.84/13,086 = 3,790.46/x
  3. Step 3: Cross multiply
    8,720.84x = 13,086 × 3,790.46
  4. Step 4: Simplify right side
    8,720.84x = 49,601,894.13
  5. Step 5: Solve for x
    x = 49,601,894.13/8,720.84
  6. Step 6: Final answer
    x = 5,687.75

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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.