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Finding the Fourth Proportional to 6,811.61, 10,210.15 and 3,883.61

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Solution

The fourth proportional to 6,811.61, 10,210.15 and 3,883.61 is: 5,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.61 : 10,210.15 = 3,883.61 : x
  2. Step 2: Convert to fraction form
    6,811.61/10,210.15 = 3,883.61/x
  3. Step 3: Cross multiply
    6,811.61x = 10,210.15 × 3,883.61
  4. Step 4: Simplify right side
    6,811.61x = 39,652,240.64
  5. Step 5: Solve for x
    x = 39,652,240.64/6,811.61
  6. Step 6: Final answer
    x = 5,821.27

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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.