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Finding the Fourth Proportional to 10,991, 16,486.52 and 2,783

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Solution

The fourth proportional to 10,991, 16,486.52 and 2,783 is: 4,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991 : 16,486.52 = 2,783 : x
  2. Step 2: Convert to fraction form
    10,991/16,486.52 = 2,783/x
  3. Step 3: Cross multiply
    10,991x = 16,486.52 × 2,783
  4. Step 4: Simplify right side
    10,991x = 45,881,985.16
  5. Step 5: Solve for x
    x = 45,881,985.16/10,991
  6. Step 6: Final answer
    x = 4,174.51

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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.