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Finding the Fourth Proportional to 2,074.36, 3,111.66 and 535.36

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Solution

The fourth proportional to 2,074.36, 3,111.66 and 535.36 is: 803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.36 : 3,111.66 = 535.36 : x
  2. Step 2: Convert to fraction form
    2,074.36/3,111.66 = 535.36/x
  3. Step 3: Cross multiply
    2,074.36x = 3,111.66 × 535.36
  4. Step 4: Simplify right side
    2,074.36x = 1,665,858.30
  5. Step 5: Solve for x
    x = 1,665,858.30/2,074.36
  6. Step 6: Final answer
    x = 803.07

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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.