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Finding the Fourth Proportional to 11,857.05, 16,362.29 and 6,822.05

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Solution

The fourth proportional to 11,857.05, 16,362.29 and 6,822.05 is: 9,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.05 : 16,362.29 = 6,822.05 : x
  2. Step 2: Convert to fraction form
    11,857.05/16,362.29 = 6,822.05/x
  3. Step 3: Cross multiply
    11,857.05x = 16,362.29 × 6,822.05
  4. Step 4: Simplify right side
    11,857.05x = 111,624,332.16
  5. Step 5: Solve for x
    x = 111,624,332.16/11,857.05
  6. Step 6: Final answer
    x = 9,414.18

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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.