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Finding the Fourth Proportional to 13,177.62, 19,763.19 and 3,943.62

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Solution

The fourth proportional to 13,177.62, 19,763.19 and 3,943.62 is: 5,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.62 : 19,763.19 = 3,943.62 : x
  2. Step 2: Convert to fraction form
    13,177.62/19,763.19 = 3,943.62/x
  3. Step 3: Cross multiply
    13,177.62x = 19,763.19 × 3,943.62
  4. Step 4: Simplify right side
    13,177.62x = 77,938,511.35
  5. Step 5: Solve for x
    x = 77,938,511.35/13,177.62
  6. Step 6: Final answer
    x = 5,914.46

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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.