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Finding the Fourth Proportional to 11,235.84, 16,857.60 and 5,760

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Solution

The fourth proportional to 11,235.84, 16,857.60 and 5,760 is: 8,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.84 : 16,857.60 = 5,760 : x
  2. Step 2: Convert to fraction form
    11,235.84/16,857.60 = 5,760/x
  3. Step 3: Cross multiply
    11,235.84x = 16,857.60 × 5,760
  4. Step 4: Simplify right side
    11,235.84x = 97,099,776.00
  5. Step 5: Solve for x
    x = 97,099,776.00/11,235.84
  6. Step 6: Final answer
    x = 8,641.97

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Why These Related Problems?

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