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Finding the Fourth Proportional to 2,108.95, 3,163.42 and 569.95

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Solution

The fourth proportional to 2,108.95, 3,163.42 and 569.95 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.95 : 3,163.42 = 569.95 : x
  2. Step 2: Convert to fraction form
    2,108.95/3,163.42 = 569.95/x
  3. Step 3: Cross multiply
    2,108.95x = 3,163.42 × 569.95
  4. Step 4: Simplify right side
    2,108.95x = 1,802,991.23
  5. Step 5: Solve for x
    x = 1,802,991.23/2,108.95
  6. Step 6: Final answer
    x = 854.92

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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.