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Finding the Fourth Proportional to 12,834, 17,710.92 and 7,245

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Solution

The fourth proportional to 12,834, 17,710.92 and 7,245 is: 9,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 17,710.92 = 7,245 : x
  2. Step 2: Convert to fraction form
    12,834/17,710.92 = 7,245/x
  3. Step 3: Cross multiply
    12,834x = 17,710.92 × 7,245
  4. Step 4: Simplify right side
    12,834x = 128,315,615.40
  5. Step 5: Solve for x
    x = 128,315,615.40/12,834
  6. Step 6: Final answer
    x = 9,998.10

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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.