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Finding the Fourth Proportional to 31,374.62, 47,051.49 and 12,649.82

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Solution

The fourth proportional to 31,374.62, 47,051.49 and 12,649.82 is: 18,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.62 : 47,051.49 = 12,649.82 : x
  2. Step 2: Convert to fraction form
    31,374.62/47,051.49 = 12,649.82/x
  3. Step 3: Cross multiply
    31,374.62x = 47,051.49 × 12,649.82
  4. Step 4: Simplify right side
    31,374.62x = 595,192,879.23
  5. Step 5: Solve for x
    x = 595,192,879.23/31,374.62
  6. Step 6: Final answer
    x = 18,970.52

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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.