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Finding the Fourth Proportional to 51,376, 77,064 and 12,464

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Solution

The fourth proportional to 51,376, 77,064 and 12,464 is: 18,696

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,376 : 77,064 = 12,464 : x
  2. Step 2: Convert to fraction form
    51,376/77,064 = 12,464/x
  3. Step 3: Cross multiply
    51,376x = 77,064 × 12,464
  4. Step 4: Simplify right side
    51,376x = 960,525,696
  5. Step 5: Solve for x
    x = 960,525,696/51,376
  6. Step 6: Final answer
    x = 18,696

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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.