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Finding the Fourth Proportional to 8,093.32, 12,129.72 and 3,646.24

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Solution

The fourth proportional to 8,093.32, 12,129.72 and 3,646.24 is: 5,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.32 : 12,129.72 = 3,646.24 : x
  2. Step 2: Convert to fraction form
    8,093.32/12,129.72 = 3,646.24/x
  3. Step 3: Cross multiply
    8,093.32x = 12,129.72 × 3,646.24
  4. Step 4: Simplify right side
    8,093.32x = 44,227,870.25
  5. Step 5: Solve for x
    x = 44,227,870.25/8,093.32
  6. Step 6: Final answer
    x = 5,464.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.