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Finding the Fourth Proportional to 18,736.28, 28,106.04 and 7,643.76

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Solution

The fourth proportional to 18,736.28, 28,106.04 and 7,643.76 is: 11,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736.28 : 28,106.04 = 7,643.76 : x
  2. Step 2: Convert to fraction form
    18,736.28/28,106.04 = 7,643.76/x
  3. Step 3: Cross multiply
    18,736.28x = 28,106.04 × 7,643.76
  4. Step 4: Simplify right side
    18,736.28x = 214,835,824.31
  5. Step 5: Solve for x
    x = 214,835,824.31/18,736.28
  6. Step 6: Final answer
    x = 11,466.30

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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.