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Finding the Fourth Proportional to 13,343.40, 18,410.58 and 8,622

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Solution

The fourth proportional to 13,343.40, 18,410.58 and 8,622 is: 11,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.40 : 18,410.58 = 8,622 : x
  2. Step 2: Convert to fraction form
    13,343.40/18,410.58 = 8,622/x
  3. Step 3: Cross multiply
    13,343.40x = 18,410.58 × 8,622
  4. Step 4: Simplify right side
    13,343.40x = 158,736,020.76
  5. Step 5: Solve for x
    x = 158,736,020.76/13,343.40
  6. Step 6: Final answer
    x = 11,896.22

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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.