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Finding the Fourth Proportional to 31,137, 46,724.94 and 12,669

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Solution

The fourth proportional to 31,137, 46,724.94 and 12,669 is: 19,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137 : 46,724.94 = 12,669 : x
  2. Step 2: Convert to fraction form
    31,137/46,724.94 = 12,669/x
  3. Step 3: Cross multiply
    31,137x = 46,724.94 × 12,669
  4. Step 4: Simplify right side
    31,137x = 591,958,264.86
  5. Step 5: Solve for x
    x = 591,958,264.86/31,137
  6. Step 6: Final answer
    x = 19,011.41

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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.