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Finding the Fourth Proportional to 31,992.88, 47,989.30 and 11,216.40

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Solution

The fourth proportional to 31,992.88, 47,989.30 and 11,216.40 is: 16,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.88 : 47,989.30 = 11,216.40 : x
  2. Step 2: Convert to fraction form
    31,992.88/47,989.30 = 11,216.40/x
  3. Step 3: Cross multiply
    31,992.88x = 47,989.30 × 11,216.40
  4. Step 4: Simplify right side
    31,992.88x = 538,267,184.52
  5. Step 5: Solve for x
    x = 538,267,184.52/31,992.88
  6. Step 6: Final answer
    x = 16,824.59

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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.