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Finding the Fourth Proportional to 10,023.52, 13,832.88 and 6,196

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Solution

The fourth proportional to 10,023.52, 13,832.88 and 6,196 is: 8,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.52 : 13,832.88 = 6,196 : x
  2. Step 2: Convert to fraction form
    10,023.52/13,832.88 = 6,196/x
  3. Step 3: Cross multiply
    10,023.52x = 13,832.88 × 6,196
  4. Step 4: Simplify right side
    10,023.52x = 85,708,524.48
  5. Step 5: Solve for x
    x = 85,708,524.48/10,023.52
  6. Step 6: Final answer
    x = 8,550.74

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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.