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Finding the Fourth Proportional to 23,930, 35,916.76 and 12,251.28

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Solution

The fourth proportional to 23,930, 35,916.76 and 12,251.28 is: 18,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 35,916.76 = 12,251.28 : x
  2. Step 2: Convert to fraction form
    23,930/35,916.76 = 12,251.28/x
  3. Step 3: Cross multiply
    23,930x = 35,916.76 × 12,251.28
  4. Step 4: Simplify right side
    23,930x = 440,026,283.45
  5. Step 5: Solve for x
    x = 440,026,283.45/23,930
  6. Step 6: Final answer
    x = 18,388.06

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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.