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Finding the Fourth Proportional to 51,379, 77,068.50 and 12,467

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Solution

The fourth proportional to 51,379, 77,068.50 and 12,467 is: 18,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,379 : 77,068.50 = 12,467 : x
  2. Step 2: Convert to fraction form
    51,379/77,068.50 = 12,467/x
  3. Step 3: Cross multiply
    51,379x = 77,068.50 × 12,467
  4. Step 4: Simplify right side
    51,379x = 960,812,989.50
  5. Step 5: Solve for x
    x = 960,812,989.50/51,379
  6. Step 6: Final answer
    x = 18,700.50

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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.