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Finding the Fourth Proportional to 23,670, 35,486.28 and 11,817.68

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Solution

The fourth proportional to 23,670, 35,486.28 and 11,817.68 is: 17,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670 : 35,486.28 = 11,817.68 : x
  2. Step 2: Convert to fraction form
    23,670/35,486.28 = 11,817.68/x
  3. Step 3: Cross multiply
    23,670x = 35,486.28 × 11,817.68
  4. Step 4: Simplify right side
    23,670x = 419,365,501.43
  5. Step 5: Solve for x
    x = 419,365,501.43/23,670
  6. Step 6: Final answer
    x = 17,717.17

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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.