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Finding the Fourth Proportional to 23,784.71, 35,663.70 and 11,912

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Solution

The fourth proportional to 23,784.71, 35,663.70 and 11,912 is: 17,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.71 : 35,663.70 = 11,912 : x
  2. Step 2: Convert to fraction form
    23,784.71/35,663.70 = 11,912/x
  3. Step 3: Cross multiply
    23,784.71x = 35,663.70 × 11,912
  4. Step 4: Simplify right side
    23,784.71x = 424,825,994.40
  5. Step 5: Solve for x
    x = 424,825,994.40/23,784.71
  6. Step 6: Final answer
    x = 17,861.31

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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.