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Finding the Fourth Proportional to 6,411.29, 8,846.42 and 3,758.76

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Solution

The fourth proportional to 6,411.29, 8,846.42 and 3,758.76 is: 5,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.29 : 8,846.42 = 3,758.76 : x
  2. Step 2: Convert to fraction form
    6,411.29/8,846.42 = 3,758.76/x
  3. Step 3: Cross multiply
    6,411.29x = 8,846.42 × 3,758.76
  4. Step 4: Simplify right side
    6,411.29x = 33,251,550.85
  5. Step 5: Solve for x
    x = 33,251,550.85/6,411.29
  6. Step 6: Final answer
    x = 5,186.41

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