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Finding the Fourth Proportional to 18,915.88, 28,392.78 and 7,829.08

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Solution

The fourth proportional to 18,915.88, 28,392.78 and 7,829.08 is: 11,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,915.88 : 28,392.78 = 7,829.08 : x
  2. Step 2: Convert to fraction form
    18,915.88/28,392.78 = 7,829.08/x
  3. Step 3: Cross multiply
    18,915.88x = 28,392.78 × 7,829.08
  4. Step 4: Simplify right side
    18,915.88x = 222,289,346.04
  5. Step 5: Solve for x
    x = 222,289,346.04/18,915.88
  6. Step 6: Final answer
    x = 11,751.47

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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.