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Finding the Fourth Proportional to 30,978.72, 46,468.80 and 9,922.80

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Solution

The fourth proportional to 30,978.72, 46,468.80 and 9,922.80 is: 14,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.72 : 46,468.80 = 9,922.80 : x
  2. Step 2: Convert to fraction form
    30,978.72/46,468.80 = 9,922.80/x
  3. Step 3: Cross multiply
    30,978.72x = 46,468.80 × 9,922.80
  4. Step 4: Simplify right side
    30,978.72x = 461,100,608.64
  5. Step 5: Solve for x
    x = 461,100,608.64/30,978.72
  6. Step 6: Final answer
    x = 14,884.43

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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.