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Finding the Fourth Proportional to 2,812.01, 4,218.08 and 965.25

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Solution

The fourth proportional to 2,812.01, 4,218.08 and 965.25 is: 1,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.01 : 4,218.08 = 965.25 : x
  2. Step 2: Convert to fraction form
    2,812.01/4,218.08 = 965.25/x
  3. Step 3: Cross multiply
    2,812.01x = 4,218.08 × 965.25
  4. Step 4: Simplify right side
    2,812.01x = 4,071,496.89
  5. Step 5: Solve for x
    x = 4,071,496.89/2,812.01
  6. Step 6: Final answer
    x = 1,447.90

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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.