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Finding the Fourth Proportional to 1,995.12, 2,992.67 and 534.23

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Solution

The fourth proportional to 1,995.12, 2,992.67 and 534.23 is: 801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.12 : 2,992.67 = 534.23 : x
  2. Step 2: Convert to fraction form
    1,995.12/2,992.67 = 534.23/x
  3. Step 3: Cross multiply
    1,995.12x = 2,992.67 × 534.23
  4. Step 4: Simplify right side
    1,995.12x = 1,598,774.09
  5. Step 5: Solve for x
    x = 1,598,774.09/1,995.12
  6. Step 6: Final answer
    x = 801.34

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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.