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Finding the Fourth Proportional to 12,271.85, 18,392.31 and 6,649.28

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Solution

The fourth proportional to 12,271.85, 18,392.31 and 6,649.28 is: 9,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.85 : 18,392.31 = 6,649.28 : x
  2. Step 2: Convert to fraction form
    12,271.85/18,392.31 = 6,649.28/x
  3. Step 3: Cross multiply
    12,271.85x = 18,392.31 × 6,649.28
  4. Step 4: Simplify right side
    12,271.85x = 122,295,527.08
  5. Step 5: Solve for x
    x = 122,295,527.08/12,271.85
  6. Step 6: Final answer
    x = 9,965.54

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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.