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Finding the Fourth Proportional to 37,920, 56,880 and 10,218

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Solution

The fourth proportional to 37,920, 56,880 and 10,218 is: 15,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920 : 56,880 = 10,218 : x
  2. Step 2: Convert to fraction form
    37,920/56,880 = 10,218/x
  3. Step 3: Cross multiply
    37,920x = 56,880 × 10,218
  4. Step 4: Simplify right side
    37,920x = 581,199,840
  5. Step 5: Solve for x
    x = 581,199,840/37,920
  6. Step 6: Final answer
    x = 15,327

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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.