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Finding the Fourth Proportional to 13,769, 19,006.14 and 8,180

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Solution

The fourth proportional to 13,769, 19,006.14 and 8,180 is: 11,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769 : 19,006.14 = 8,180 : x
  2. Step 2: Convert to fraction form
    13,769/19,006.14 = 8,180/x
  3. Step 3: Cross multiply
    13,769x = 19,006.14 × 8,180
  4. Step 4: Simplify right side
    13,769x = 155,470,225.20
  5. Step 5: Solve for x
    x = 155,470,225.20/13,769
  6. Step 6: Final answer
    x = 11,291.32

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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.