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Finding the Fourth Proportional to 51,456, 77,184 and 12,544

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Solution

The fourth proportional to 51,456, 77,184 and 12,544 is: 18,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,456 : 77,184 = 12,544 : x
  2. Step 2: Convert to fraction form
    51,456/77,184 = 12,544/x
  3. Step 3: Cross multiply
    51,456x = 77,184 × 12,544
  4. Step 4: Simplify right side
    51,456x = 968,196,096
  5. Step 5: Solve for x
    x = 968,196,096/51,456
  6. Step 6: Final answer
    x = 18,816

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.