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Finding the Fourth Proportional to 19,912.68, 29,878.74 and 9,522

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Solution

The fourth proportional to 19,912.68, 29,878.74 and 9,522 is: 14,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.68 : 29,878.74 = 9,522 : x
  2. Step 2: Convert to fraction form
    19,912.68/29,878.74 = 9,522/x
  3. Step 3: Cross multiply
    19,912.68x = 29,878.74 × 9,522
  4. Step 4: Simplify right side
    19,912.68x = 284,505,362.28
  5. Step 5: Solve for x
    x = 284,505,362.28/19,912.68
  6. Step 6: Final answer
    x = 14,287.65

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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.