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Finding the Fourth Proportional to 1,940.83, 2,911.37 and 535.47

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Solution

The fourth proportional to 1,940.83, 2,911.37 and 535.47 is: 803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.83 : 2,911.37 = 535.47 : x
  2. Step 2: Convert to fraction form
    1,940.83/2,911.37 = 535.47/x
  3. Step 3: Cross multiply
    1,940.83x = 2,911.37 × 535.47
  4. Step 4: Simplify right side
    1,940.83x = 1,558,951.29
  5. Step 5: Solve for x
    x = 1,558,951.29/1,940.83
  6. Step 6: Final answer
    x = 803.24

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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.