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Finding the Fourth Proportional to 11,231, 16,840.02 and 4,991

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Solution

The fourth proportional to 11,231, 16,840.02 and 4,991 is: 7,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231 : 16,840.02 = 4,991 : x
  2. Step 2: Convert to fraction form
    11,231/16,840.02 = 4,991/x
  3. Step 3: Cross multiply
    11,231x = 16,840.02 × 4,991
  4. Step 4: Simplify right side
    11,231x = 84,048,539.82
  5. Step 5: Solve for x
    x = 84,048,539.82/11,231
  6. Step 6: Final answer
    x = 7,483.62

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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.