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Finding the Fourth Proportional to 11,297, 16,956.30 and 4,721.44

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Solution

The fourth proportional to 11,297, 16,956.30 and 4,721.44 is: 7,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 16,956.30 = 4,721.44 : x
  2. Step 2: Convert to fraction form
    11,297/16,956.30 = 4,721.44/x
  3. Step 3: Cross multiply
    11,297x = 16,956.30 × 4,721.44
  4. Step 4: Simplify right side
    11,297x = 80,058,153.07
  5. Step 5: Solve for x
    x = 80,058,153.07/11,297
  6. Step 6: Final answer
    x = 7,086.67

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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.