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Finding the Fourth Proportional to 12,255.32, 16,921.86 and 9,418.21

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Solution

The fourth proportional to 12,255.32, 16,921.86 and 9,418.21 is: 13,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.32 : 16,921.86 = 9,418.21 : x
  2. Step 2: Convert to fraction form
    12,255.32/16,921.86 = 9,418.21/x
  3. Step 3: Cross multiply
    12,255.32x = 16,921.86 × 9,418.21
  4. Step 4: Simplify right side
    12,255.32x = 159,373,631.07
  5. Step 5: Solve for x
    x = 159,373,631.07/12,255.32
  6. Step 6: Final answer
    x = 13,004.44

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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.