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Finding the Fourth Proportional to 12,120, 16,728.60 and 7,408.26

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Solution

The fourth proportional to 12,120, 16,728.60 and 7,408.26 is: 10,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120 : 16,728.60 = 7,408.26 : x
  2. Step 2: Convert to fraction form
    12,120/16,728.60 = 7,408.26/x
  3. Step 3: Cross multiply
    12,120x = 16,728.60 × 7,408.26
  4. Step 4: Simplify right side
    12,120x = 123,929,818.24
  5. Step 5: Solve for x
    x = 123,929,818.24/12,120
  6. Step 6: Final answer
    x = 10,225.23

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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.