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Finding the Fourth Proportional to 4,979.69, 7,469.63 and 1,282.00

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Solution

The fourth proportional to 4,979.69, 7,469.63 and 1,282.00 is: 1,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.69 : 7,469.63 = 1,282.00 : x
  2. Step 2: Convert to fraction form
    4,979.69/7,469.63 = 1,282.00/x
  3. Step 3: Cross multiply
    4,979.69x = 7,469.63 × 1,282.00
  4. Step 4: Simplify right side
    4,979.69x = 9,576,021.90
  5. Step 5: Solve for x
    x = 9,576,021.90/4,979.69
  6. Step 6: Final answer
    x = 1,923.02

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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.