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Finding the Fourth Proportional to 12,078, 16,674.12 and 9,419.04

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Solution

The fourth proportional to 12,078, 16,674.12 and 9,419.04 is: 13,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 16,674.12 = 9,419.04 : x
  2. Step 2: Convert to fraction form
    12,078/16,674.12 = 9,419.04/x
  3. Step 3: Cross multiply
    12,078x = 16,674.12 × 9,419.04
  4. Step 4: Simplify right side
    12,078x = 157,054,203.24
  5. Step 5: Solve for x
    x = 157,054,203.24/12,078
  6. Step 6: Final answer
    x = 13,003.33

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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.