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Finding the Fourth Proportional to 1,969.07, 2,953.62 and 582.42

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Solution

The fourth proportional to 1,969.07, 2,953.62 and 582.42 is: 873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.07 : 2,953.62 = 582.42 : x
  2. Step 2: Convert to fraction form
    1,969.07/2,953.62 = 582.42/x
  3. Step 3: Cross multiply
    1,969.07x = 2,953.62 × 582.42
  4. Step 4: Simplify right side
    1,969.07x = 1,720,247.36
  5. Step 5: Solve for x
    x = 1,720,247.36/1,969.07
  6. Step 6: Final answer
    x = 873.63

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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.