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Finding the Fourth Proportional to 14,643.54, 21,968.78 and 4,782.80

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Solution

The fourth proportional to 14,643.54, 21,968.78 and 4,782.80 is: 7,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.54 : 21,968.78 = 4,782.80 : x
  2. Step 2: Convert to fraction form
    14,643.54/21,968.78 = 4,782.80/x
  3. Step 3: Cross multiply
    14,643.54x = 21,968.78 × 4,782.80
  4. Step 4: Simplify right side
    14,643.54x = 105,072,147.23
  5. Step 5: Solve for x
    x = 105,072,147.23/14,643.54
  6. Step 6: Final answer
    x = 7,175.33

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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.