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Finding the Fourth Proportional to 12,090, 16,684.26 and 7,057.68

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Solution

The fourth proportional to 12,090, 16,684.26 and 7,057.68 is: 9,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090 : 16,684.26 = 7,057.68 : x
  2. Step 2: Convert to fraction form
    12,090/16,684.26 = 7,057.68/x
  3. Step 3: Cross multiply
    12,090x = 16,684.26 × 7,057.68
  4. Step 4: Simplify right side
    12,090x = 117,752,168.12
  5. Step 5: Solve for x
    x = 117,752,168.12/12,090
  6. Step 6: Final answer
    x = 9,739.63

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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.