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Finding the Fourth Proportional to 11,429.74, 17,130.48 and 6,745

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Solution

The fourth proportional to 11,429.74, 17,130.48 and 6,745 is: 10,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.74 : 17,130.48 = 6,745 : x
  2. Step 2: Convert to fraction form
    11,429.74/17,130.48 = 6,745/x
  3. Step 3: Cross multiply
    11,429.74x = 17,130.48 × 6,745
  4. Step 4: Simplify right side
    11,429.74x = 115,545,087.60
  5. Step 5: Solve for x
    x = 115,545,087.60/11,429.74
  6. Step 6: Final answer
    x = 10,109.16

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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.