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Finding the Fourth Proportional to 19,978.14, 29,957.94 and 11,660.55

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Solution

The fourth proportional to 19,978.14, 29,957.94 and 11,660.55 is: 17,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.14 : 29,957.94 = 11,660.55 : x
  2. Step 2: Convert to fraction form
    19,978.14/29,957.94 = 11,660.55/x
  3. Step 3: Cross multiply
    19,978.14x = 29,957.94 × 11,660.55
  4. Step 4: Simplify right side
    19,978.14x = 349,326,057.27
  5. Step 5: Solve for x
    x = 349,326,057.27/19,978.14
  6. Step 6: Final answer
    x = 17,485.41

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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.