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Finding the Fourth Proportional to 12,128.90, 18,181.01 and 9,201.06

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Solution

The fourth proportional to 12,128.90, 18,181.01 and 9,201.06 is: 13,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.90 : 18,181.01 = 9,201.06 : x
  2. Step 2: Convert to fraction form
    12,128.90/18,181.01 = 9,201.06/x
  3. Step 3: Cross multiply
    12,128.90x = 18,181.01 × 9,201.06
  4. Step 4: Simplify right side
    12,128.90x = 167,284,517.87
  5. Step 5: Solve for x
    x = 167,284,517.87/12,128.90
  6. Step 6: Final answer
    x = 13,792.23

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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.