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Finding the Fourth Proportional to 31,980.52, 47,941.74 and 11,192.68

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Solution

The fourth proportional to 31,980.52, 47,941.74 and 11,192.68 is: 16,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.52 : 47,941.74 = 11,192.68 : x
  2. Step 2: Convert to fraction form
    31,980.52/47,941.74 = 11,192.68/x
  3. Step 3: Cross multiply
    31,980.52x = 47,941.74 × 11,192.68
  4. Step 4: Simplify right side
    31,980.52x = 536,596,554.46
  5. Step 5: Solve for x
    x = 536,596,554.46/31,980.52
  6. Step 6: Final answer
    x = 16,778.86

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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.