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Finding the Fourth Proportional to 11,155, 16,732.54 and 2,947

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Solution

The fourth proportional to 11,155, 16,732.54 and 2,947 is: 4,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155 : 16,732.54 = 2,947 : x
  2. Step 2: Convert to fraction form
    11,155/16,732.54 = 2,947/x
  3. Step 3: Cross multiply
    11,155x = 16,732.54 × 2,947
  4. Step 4: Simplify right side
    11,155x = 49,310,795.38
  5. Step 5: Solve for x
    x = 49,310,795.38/11,155
  6. Step 6: Final answer
    x = 4,420.51

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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.