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Finding the Fourth Proportional to 27,850.72, 41,776.08 and 13,990

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Solution

The fourth proportional to 27,850.72, 41,776.08 and 13,990 is: 20,985

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.72 : 41,776.08 = 13,990 : x
  2. Step 2: Convert to fraction form
    27,850.72/41,776.08 = 13,990/x
  3. Step 3: Cross multiply
    27,850.72x = 41,776.08 × 13,990
  4. Step 4: Simplify right side
    27,850.72x = 584,447,359.20
  5. Step 5: Solve for x
    x = 584,447,359.20/27,850.72
  6. Step 6: Final answer
    x = 20,985

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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.