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Finding the Fourth Proportional to 8,783, 12,120.90 and 5,057

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Solution

The fourth proportional to 8,783, 12,120.90 and 5,057 is: 6,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783 : 12,120.90 = 5,057 : x
  2. Step 2: Convert to fraction form
    8,783/12,120.90 = 5,057/x
  3. Step 3: Cross multiply
    8,783x = 12,120.90 × 5,057
  4. Step 4: Simplify right side
    8,783x = 61,295,391.30
  5. Step 5: Solve for x
    x = 61,295,391.30/8,783
  6. Step 6: Final answer
    x = 6,978.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.