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Finding the Fourth Proportional to 10,803.12, 16,199.64 and 6,123.12

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Solution

The fourth proportional to 10,803.12, 16,199.64 and 6,123.12 is: 9,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.12 : 16,199.64 = 6,123.12 : x
  2. Step 2: Convert to fraction form
    10,803.12/16,199.64 = 6,123.12/x
  3. Step 3: Cross multiply
    10,803.12x = 16,199.64 × 6,123.12
  4. Step 4: Simplify right side
    10,803.12x = 99,192,339.68
  5. Step 5: Solve for x
    x = 99,192,339.68/10,803.12
  6. Step 6: Final answer
    x = 9,181.82

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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.