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Finding the Fourth Proportional to 10,832.36, 14,947.62 and 8,599.64

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Solution

The fourth proportional to 10,832.36, 14,947.62 and 8,599.64 is: 11,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.36 : 14,947.62 = 8,599.64 : x
  2. Step 2: Convert to fraction form
    10,832.36/14,947.62 = 8,599.64/x
  3. Step 3: Cross multiply
    10,832.36x = 14,947.62 × 8,599.64
  4. Step 4: Simplify right side
    10,832.36x = 128,544,150.86
  5. Step 5: Solve for x
    x = 128,544,150.86/10,832.36
  6. Step 6: Final answer
    x = 11,866.68

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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.