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Finding the Fourth Proportional to 41,664, 62,496 and 12,480

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Solution

The fourth proportional to 41,664, 62,496 and 12,480 is: 18,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,664 : 62,496 = 12,480 : x
  2. Step 2: Convert to fraction form
    41,664/62,496 = 12,480/x
  3. Step 3: Cross multiply
    41,664x = 62,496 × 12,480
  4. Step 4: Simplify right side
    41,664x = 779,950,080
  5. Step 5: Solve for x
    x = 779,950,080/41,664
  6. Step 6: Final answer
    x = 18,720

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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.