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Finding the Fourth Proportional to 4,664.22, 6,989.28 and 2,813.28

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Solution

The fourth proportional to 4,664.22, 6,989.28 and 2,813.28 is: 4,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.22 : 6,989.28 = 2,813.28 : x
  2. Step 2: Convert to fraction form
    4,664.22/6,989.28 = 2,813.28/x
  3. Step 3: Cross multiply
    4,664.22x = 6,989.28 × 2,813.28
  4. Step 4: Simplify right side
    4,664.22x = 19,662,801.64
  5. Step 5: Solve for x
    x = 19,662,801.64/4,664.22
  6. Step 6: Final answer
    x = 4,215.67

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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.