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Finding the Fourth Proportional to 13,115.58, 19,651.49 and 9,213

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Solution

The fourth proportional to 13,115.58, 19,651.49 and 9,213 is: 13,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.58 : 19,651.49 = 9,213 : x
  2. Step 2: Convert to fraction form
    13,115.58/19,651.49 = 9,213/x
  3. Step 3: Cross multiply
    13,115.58x = 19,651.49 × 9,213
  4. Step 4: Simplify right side
    13,115.58x = 181,049,177.37
  5. Step 5: Solve for x
    x = 181,049,177.37/13,115.58
  6. Step 6: Final answer
    x = 13,804.13

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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.