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Finding the Fourth Proportional to 19,673.68, 29,485 and 7,980.52

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Solution

The fourth proportional to 19,673.68, 29,485 and 7,980.52 is: 11,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.68 : 29,485 = 7,980.52 : x
  2. Step 2: Convert to fraction form
    19,673.68/29,485 = 7,980.52/x
  3. Step 3: Cross multiply
    19,673.68x = 29,485 × 7,980.52
  4. Step 4: Simplify right side
    19,673.68x = 235,305,632.20
  5. Step 5: Solve for x
    x = 235,305,632.20/19,673.68
  6. Step 6: Final answer
    x = 11,960.43

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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.