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Finding the Fourth Proportional to 20,012.75, 30,009.70 and 11,695.16

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Solution

The fourth proportional to 20,012.75, 30,009.70 and 11,695.16 is: 17,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.75 : 30,009.70 = 11,695.16 : x
  2. Step 2: Convert to fraction form
    20,012.75/30,009.70 = 11,695.16/x
  3. Step 3: Cross multiply
    20,012.75x = 30,009.70 × 11,695.16
  4. Step 4: Simplify right side
    20,012.75x = 350,968,184.58
  5. Step 5: Solve for x
    x = 350,968,184.58/20,012.75
  6. Step 6: Final answer
    x = 17,537.23

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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.