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Finding the Fourth Proportional to 11,218.16, 16,808.64 and 6,822.32

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Solution

The fourth proportional to 11,218.16, 16,808.64 and 6,822.32 is: 10,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.16 : 16,808.64 = 6,822.32 : x
  2. Step 2: Convert to fraction form
    11,218.16/16,808.64 = 6,822.32/x
  3. Step 3: Cross multiply
    11,218.16x = 16,808.64 × 6,822.32
  4. Step 4: Simplify right side
    11,218.16x = 114,673,920.84
  5. Step 5: Solve for x
    x = 114,673,920.84/11,218.16
  6. Step 6: Final answer
    x = 10,222.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.