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Finding the Fourth Proportional to 13,091, 19,636.68 and 7,259

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Solution

The fourth proportional to 13,091, 19,636.68 and 7,259 is: 10,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091 : 19,636.68 = 7,259 : x
  2. Step 2: Convert to fraction form
    13,091/19,636.68 = 7,259/x
  3. Step 3: Cross multiply
    13,091x = 19,636.68 × 7,259
  4. Step 4: Simplify right side
    13,091x = 142,542,660.12
  5. Step 5: Solve for x
    x = 142,542,660.12/13,091
  6. Step 6: Final answer
    x = 10,888.60

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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.