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Finding the Fourth Proportional to 5,786, 8,670.36 and 3,933.20

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Solution

The fourth proportional to 5,786, 8,670.36 and 3,933.20 is: 5,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 8,670.36 = 3,933.20 : x
  2. Step 2: Convert to fraction form
    5,786/8,670.36 = 3,933.20/x
  3. Step 3: Cross multiply
    5,786x = 8,670.36 × 3,933.20
  4. Step 4: Simplify right side
    5,786x = 34,102,259.95
  5. Step 5: Solve for x
    x = 34,102,259.95/5,786
  6. Step 6: Final answer
    x = 5,893.93

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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.