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Finding the Fourth Proportional to 12,109.92, 18,181.20 and 6,271.20

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Solution

The fourth proportional to 12,109.92, 18,181.20 and 6,271.20 is: 9,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.92 : 18,181.20 = 6,271.20 : x
  2. Step 2: Convert to fraction form
    12,109.92/18,181.20 = 6,271.20/x
  3. Step 3: Cross multiply
    12,109.92x = 18,181.20 × 6,271.20
  4. Step 4: Simplify right side
    12,109.92x = 114,017,941.44
  5. Step 5: Solve for x
    x = 114,017,941.44/12,109.92
  6. Step 6: Final answer
    x = 9,415.25

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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.