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Finding the Fourth Proportional to 1,969, 2,953.38 and 582.28

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Solution

The fourth proportional to 1,969, 2,953.38 and 582.28 is: 873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969 : 2,953.38 = 582.28 : x
  2. Step 2: Convert to fraction form
    1,969/2,953.38 = 582.28/x
  3. Step 3: Cross multiply
    1,969x = 2,953.38 × 582.28
  4. Step 4: Simplify right side
    1,969x = 1,719,694.11
  5. Step 5: Solve for x
    x = 1,719,694.11/1,969
  6. Step 6: Final answer
    x = 873.38

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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.