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Finding the Fourth Proportional to 19,830, 29,749.95 and 5,979

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Solution

The fourth proportional to 19,830, 29,749.95 and 5,979 is: 8,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 29,749.95 = 5,979 : x
  2. Step 2: Convert to fraction form
    19,830/29,749.95 = 5,979/x
  3. Step 3: Cross multiply
    19,830x = 29,749.95 × 5,979
  4. Step 4: Simplify right side
    19,830x = 177,874,951.05
  5. Step 5: Solve for x
    x = 177,874,951.05/19,830
  6. Step 6: Final answer
    x = 8,969.99

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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.