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Finding the Fourth Proportional to 31,791.50, 47,695.76 and 11,015

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Solution

The fourth proportional to 31,791.50, 47,695.76 and 11,015 is: 16,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.50 : 47,695.76 = 11,015 : x
  2. Step 2: Convert to fraction form
    31,791.50/47,695.76 = 11,015/x
  3. Step 3: Cross multiply
    31,791.50x = 47,695.76 × 11,015
  4. Step 4: Simplify right side
    31,791.50x = 525,368,741.33
  5. Step 5: Solve for x
    x = 525,368,741.33/31,791.50
  6. Step 6: Final answer
    x = 16,525.45

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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.