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Finding the Fourth Proportional to 13,804.58, 19,045.31 and 7,832.78

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Solution

The fourth proportional to 13,804.58, 19,045.31 and 7,832.78 is: 10,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.58 : 19,045.31 = 7,832.78 : x
  2. Step 2: Convert to fraction form
    13,804.58/19,045.31 = 7,832.78/x
  3. Step 3: Cross multiply
    13,804.58x = 19,045.31 × 7,832.78
  4. Step 4: Simplify right side
    13,804.58x = 149,177,684.10
  5. Step 5: Solve for x
    x = 149,177,684.10/13,804.58
  6. Step 6: Final answer
    x = 10,806.39

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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.