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Finding the Fourth Proportional to 8,705.59, 13,057.12 and 2,783.14

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Solution

The fourth proportional to 8,705.59, 13,057.12 and 2,783.14 is: 4,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.59 : 13,057.12 = 2,783.14 : x
  2. Step 2: Convert to fraction form
    8,705.59/13,057.12 = 2,783.14/x
  3. Step 3: Cross multiply
    8,705.59x = 13,057.12 × 2,783.14
  4. Step 4: Simplify right side
    8,705.59x = 36,339,821.58
  5. Step 5: Solve for x
    x = 36,339,821.58/8,705.59
  6. Step 6: Final answer
    x = 4,174.31

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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.