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Finding the Fourth Proportional to 37,104, 55,656 and 12,480

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Solution

The fourth proportional to 37,104, 55,656 and 12,480 is: 18,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,104 : 55,656 = 12,480 : x
  2. Step 2: Convert to fraction form
    37,104/55,656 = 12,480/x
  3. Step 3: Cross multiply
    37,104x = 55,656 × 12,480
  4. Step 4: Simplify right side
    37,104x = 694,586,880
  5. Step 5: Solve for x
    x = 694,586,880/37,104
  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.