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Finding the Fourth Proportional to 31,285.91, 46,929.02 and 7,912.37

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Solution

The fourth proportional to 31,285.91, 46,929.02 and 7,912.37 is: 11,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.91 : 46,929.02 = 7,912.37 : x
  2. Step 2: Convert to fraction form
    31,285.91/46,929.02 = 7,912.37/x
  3. Step 3: Cross multiply
    31,285.91x = 46,929.02 × 7,912.37
  4. Step 4: Simplify right side
    31,285.91x = 371,319,495.77
  5. Step 5: Solve for x
    x = 371,319,495.77/31,285.91
  6. Step 6: Final answer
    x = 11,868.59

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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.