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Finding the Fourth Proportional to 13,801.68, 19,043.08 and 7,832

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Solution

The fourth proportional to 13,801.68, 19,043.08 and 7,832 is: 10,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.68 : 19,043.08 = 7,832 : x
  2. Step 2: Convert to fraction form
    13,801.68/19,043.08 = 7,832/x
  3. Step 3: Cross multiply
    13,801.68x = 19,043.08 × 7,832
  4. Step 4: Simplify right side
    13,801.68x = 149,145,402.56
  5. Step 5: Solve for x
    x = 149,145,402.56/13,801.68
  6. Step 6: Final answer
    x = 10,806.32

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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.