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Finding the Fourth Proportional to 8,381.13, 11,546.01 and 5,858.57

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Solution

The fourth proportional to 8,381.13, 11,546.01 and 5,858.57 is: 8,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.13 : 11,546.01 = 5,858.57 : x
  2. Step 2: Convert to fraction form
    8,381.13/11,546.01 = 5,858.57/x
  3. Step 3: Cross multiply
    8,381.13x = 11,546.01 × 5,858.57
  4. Step 4: Simplify right side
    8,381.13x = 67,643,050.08
  5. Step 5: Solve for x
    x = 67,643,050.08/8,381.13
  6. Step 6: Final answer
    x = 8,070.87

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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.