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Finding the Fourth Proportional to 11,216.16, 16,805.64 and 6,820.32

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Solution

The fourth proportional to 11,216.16, 16,805.64 and 6,820.32 is: 10,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.16 : 16,805.64 = 6,820.32 : x
  2. Step 2: Convert to fraction form
    11,216.16/16,805.64 = 6,820.32/x
  3. Step 3: Cross multiply
    11,216.16x = 16,805.64 × 6,820.32
  4. Step 4: Simplify right side
    11,216.16x = 114,619,842.60
  5. Step 5: Solve for x
    x = 114,619,842.60/11,216.16
  6. Step 6: Final answer
    x = 10,219.17

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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.