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Finding the Fourth Proportional to 12,436.40, 18,651.53 and 7,754

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Solution

The fourth proportional to 12,436.40, 18,651.53 and 7,754 is: 11,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.40 : 18,651.53 = 7,754 : x
  2. Step 2: Convert to fraction form
    12,436.40/18,651.53 = 7,754/x
  3. Step 3: Cross multiply
    12,436.40x = 18,651.53 × 7,754
  4. Step 4: Simplify right side
    12,436.40x = 144,623,963.62
  5. Step 5: Solve for x
    x = 144,623,963.62/12,436.40
  6. Step 6: Final answer
    x = 11,629.09

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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.