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Finding the Fourth Proportional to 14,418, 19,896.84 and 7,794

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Solution

The fourth proportional to 14,418, 19,896.84 and 7,794 is: 10,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 19,896.84 = 7,794 : x
  2. Step 2: Convert to fraction form
    14,418/19,896.84 = 7,794/x
  3. Step 3: Cross multiply
    14,418x = 19,896.84 × 7,794
  4. Step 4: Simplify right side
    14,418x = 155,075,970.96
  5. Step 5: Solve for x
    x = 155,075,970.96/14,418
  6. Step 6: Final answer
    x = 10,755.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.