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Finding the Fourth Proportional to 46,812, 70,218 and 13,980

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Solution

The fourth proportional to 46,812, 70,218 and 13,980 is: 20,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 70,218 = 13,980 : x
  2. Step 2: Convert to fraction form
    46,812/70,218 = 13,980/x
  3. Step 3: Cross multiply
    46,812x = 70,218 × 13,980
  4. Step 4: Simplify right side
    46,812x = 981,647,640
  5. Step 5: Solve for x
    x = 981,647,640/46,812
  6. Step 6: Final answer
    x = 20,970

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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.