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Finding the Fourth Proportional to 18,511.36, 27,763.92 and 7,978.48

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Solution

The fourth proportional to 18,511.36, 27,763.92 and 7,978.48 is: 11,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.36 : 27,763.92 = 7,978.48 : x
  2. Step 2: Convert to fraction form
    18,511.36/27,763.92 = 7,978.48/x
  3. Step 3: Cross multiply
    18,511.36x = 27,763.92 × 7,978.48
  4. Step 4: Simplify right side
    18,511.36x = 221,513,880.44
  5. Step 5: Solve for x
    x = 221,513,880.44/18,511.36
  6. Step 6: Final answer
    x = 11,966.38

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1.5x scale

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.