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Finding the Fourth Proportional to 10,144.53, 13,992.41 and 9,308

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Solution

The fourth proportional to 10,144.53, 13,992.41 and 9,308 is: 12,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.53 : 13,992.41 = 9,308 : x
  2. Step 2: Convert to fraction form
    10,144.53/13,992.41 = 9,308/x
  3. Step 3: Cross multiply
    10,144.53x = 13,992.41 × 9,308
  4. Step 4: Simplify right side
    10,144.53x = 130,241,352.28
  5. Step 5: Solve for x
    x = 130,241,352.28/10,144.53
  6. Step 6: Final answer
    x = 12,838.58

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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.