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Finding the Fourth Proportional to 17,865.20, 26,782.68 and 6,765.77

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Solution

The fourth proportional to 17,865.20, 26,782.68 and 6,765.77 is: 10,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.20 : 26,782.68 = 6,765.77 : x
  2. Step 2: Convert to fraction form
    17,865.20/26,782.68 = 6,765.77/x
  3. Step 3: Cross multiply
    17,865.20x = 26,782.68 × 6,765.77
  4. Step 4: Simplify right side
    17,865.20x = 181,205,452.86
  5. Step 5: Solve for x
    x = 181,205,452.86/17,865.20
  6. Step 6: Final answer
    x = 10,142.93

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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.