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Finding the Fourth Proportional to 51,381, 77,071.50 and 12,469

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Solution

The fourth proportional to 51,381, 77,071.50 and 12,469 is: 18,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381 : 77,071.50 = 12,469 : x
  2. Step 2: Convert to fraction form
    51,381/77,071.50 = 12,469/x
  3. Step 3: Cross multiply
    51,381x = 77,071.50 × 12,469
  4. Step 4: Simplify right side
    51,381x = 961,004,533.50
  5. Step 5: Solve for x
    x = 961,004,533.50/51,381
  6. Step 6: Final answer
    x = 18,703.50

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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.