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Finding the Fourth Proportional to 14,978.42, 22,460.36 and 7,961.80

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Solution

The fourth proportional to 14,978.42, 22,460.36 and 7,961.80 is: 11,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.42 : 22,460.36 = 7,961.80 : x
  2. Step 2: Convert to fraction form
    14,978.42/22,460.36 = 7,961.80/x
  3. Step 3: Cross multiply
    14,978.42x = 22,460.36 × 7,961.80
  4. Step 4: Simplify right side
    14,978.42x = 178,824,894.25
  5. Step 5: Solve for x
    x = 178,824,894.25/14,978.42
  6. Step 6: Final answer
    x = 11,938.84

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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.