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Finding the Fourth Proportional to 13,024.38, 17,982.54 and 8,315.04

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Solution

The fourth proportional to 13,024.38, 17,982.54 and 8,315.04 is: 11,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.38 : 17,982.54 = 8,315.04 : x
  2. Step 2: Convert to fraction form
    13,024.38/17,982.54 = 8,315.04/x
  3. Step 3: Cross multiply
    13,024.38x = 17,982.54 × 8,315.04
  4. Step 4: Simplify right side
    13,024.38x = 149,525,539.40
  5. Step 5: Solve for x
    x = 149,525,539.40/13,024.38
  6. Step 6: Final answer
    x = 11,480.43

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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.