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Finding the Fourth Proportional to 31,326.60, 46,978.97 and 12,601.78

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Solution

The fourth proportional to 31,326.60, 46,978.97 and 12,601.78 is: 18,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.60 : 46,978.97 = 12,601.78 : x
  2. Step 2: Convert to fraction form
    31,326.60/46,978.97 = 12,601.78/x
  3. Step 3: Cross multiply
    31,326.60x = 46,978.97 × 12,601.78
  4. Step 4: Simplify right side
    31,326.60x = 592,018,644.57
  5. Step 5: Solve for x
    x = 592,018,644.57/31,326.60
  6. Step 6: Final answer
    x = 18,898.27

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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.