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Finding the Fourth Proportional to 13,780, 19,016.40 and 8,191

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Solution

The fourth proportional to 13,780, 19,016.40 and 8,191 is: 11,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780 : 19,016.40 = 8,191 : x
  2. Step 2: Convert to fraction form
    13,780/19,016.40 = 8,191/x
  3. Step 3: Cross multiply
    13,780x = 19,016.40 × 8,191
  4. Step 4: Simplify right side
    13,780x = 155,763,332.40
  5. Step 5: Solve for x
    x = 155,763,332.40/13,780
  6. Step 6: Final answer
    x = 11,303.58

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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.