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Finding the Fourth Proportional to 8,713.12, 13,070.64 and 2,788.60

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Solution

The fourth proportional to 8,713.12, 13,070.64 and 2,788.60 is: 4,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.12 : 13,070.64 = 2,788.60 : x
  2. Step 2: Convert to fraction form
    8,713.12/13,070.64 = 2,788.60/x
  3. Step 3: Cross multiply
    8,713.12x = 13,070.64 × 2,788.60
  4. Step 4: Simplify right side
    8,713.12x = 36,448,786.70
  5. Step 5: Solve for x
    x = 36,448,786.70/8,713.12
  6. Step 6: Final answer
    x = 4,183.21

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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.