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Finding the Fourth Proportional to 12,190, 16,822.92 and 6,884.68

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Solution

The fourth proportional to 12,190, 16,822.92 and 6,884.68 is: 9,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190 : 16,822.92 = 6,884.68 : x
  2. Step 2: Convert to fraction form
    12,190/16,822.92 = 6,884.68/x
  3. Step 3: Cross multiply
    12,190x = 16,822.92 × 6,884.68
  4. Step 4: Simplify right side
    12,190x = 115,820,420.87
  5. Step 5: Solve for x
    x = 115,820,420.87/12,190
  6. Step 6: Final answer
    x = 9,501.27

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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.