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Finding the Fourth Proportional to 19,788.64, 29,694.48 and 7,477.60

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Solution

The fourth proportional to 19,788.64, 29,694.48 and 7,477.60 is: 11,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788.64 : 29,694.48 = 7,477.60 : x
  2. Step 2: Convert to fraction form
    19,788.64/29,694.48 = 7,477.60/x
  3. Step 3: Cross multiply
    19,788.64x = 29,694.48 × 7,477.60
  4. Step 4: Simplify right side
    19,788.64x = 222,043,443.65
  5. Step 5: Solve for x
    x = 222,043,443.65/19,788.64
  6. Step 6: Final answer
    x = 11,220.75

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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.