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Finding the Fourth Proportional to 31,257.66, 46,886.70 and 12,789.66

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Solution

The fourth proportional to 31,257.66, 46,886.70 and 12,789.66 is: 19,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.66 : 46,886.70 = 12,789.66 : x
  2. Step 2: Convert to fraction form
    31,257.66/46,886.70 = 12,789.66/x
  3. Step 3: Cross multiply
    31,257.66x = 46,886.70 × 12,789.66
  4. Step 4: Simplify right side
    31,257.66x = 599,664,951.52
  5. Step 5: Solve for x
    x = 599,664,951.52/31,257.66
  6. Step 6: Final answer
    x = 19,184.58

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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.