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Finding the Fourth Proportional to 31,186.89, 46,778.90 and 11,464.02

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Solution

The fourth proportional to 31,186.89, 46,778.90 and 11,464.02 is: 17,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.89 : 46,778.90 = 11,464.02 : x
  2. Step 2: Convert to fraction form
    31,186.89/46,778.90 = 11,464.02/x
  3. Step 3: Cross multiply
    31,186.89x = 46,778.90 × 11,464.02
  4. Step 4: Simplify right side
    31,186.89x = 536,274,187.86
  5. Step 5: Solve for x
    x = 536,274,187.86/31,186.89
  6. Step 6: Final answer
    x = 17,195.50

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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.