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Finding the Fourth Proportional to 29,660, 40,930.80 and 16,412

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Solution

The fourth proportional to 29,660, 40,930.80 and 16,412 is: 22,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660 : 40,930.80 = 16,412 : x
  2. Step 2: Convert to fraction form
    29,660/40,930.80 = 16,412/x
  3. Step 3: Cross multiply
    29,660x = 40,930.80 × 16,412
  4. Step 4: Simplify right side
    29,660x = 671,756,289.60
  5. Step 5: Solve for x
    x = 671,756,289.60/29,660
  6. Step 6: Final answer
    x = 22,648.56

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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.