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Finding the Fourth Proportional to 13,043.43, 17,999.69 and 7,074.99

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Solution

The fourth proportional to 13,043.43, 17,999.69 and 7,074.99 is: 9,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.43 : 17,999.69 = 7,074.99 : x
  2. Step 2: Convert to fraction form
    13,043.43/17,999.69 = 7,074.99/x
  3. Step 3: Cross multiply
    13,043.43x = 17,999.69 × 7,074.99
  4. Step 4: Simplify right side
    13,043.43x = 127,347,591.38
  5. Step 5: Solve for x
    x = 127,347,591.38/13,043.43
  6. Step 6: Final answer
    x = 9,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.