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Finding the Fourth Proportional to 14,682.08, 20,261.09 and 8,309.12

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Solution

The fourth proportional to 14,682.08, 20,261.09 and 8,309.12 is: 11,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.08 : 20,261.09 = 8,309.12 : x
  2. Step 2: Convert to fraction form
    14,682.08/20,261.09 = 8,309.12/x
  3. Step 3: Cross multiply
    14,682.08x = 20,261.09 × 8,309.12
  4. Step 4: Simplify right side
    14,682.08x = 168,351,747.61
  5. Step 5: Solve for x
    x = 168,351,747.61/14,682.08
  6. Step 6: Final answer
    x = 11,466.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.