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Finding the Fourth Proportional to 3,945.22, 5,912.19 and 2,897.00

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Solution

The fourth proportional to 3,945.22, 5,912.19 and 2,897.00 is: 4,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.22 : 5,912.19 = 2,897.00 : x
  2. Step 2: Convert to fraction form
    3,945.22/5,912.19 = 2,897.00/x
  3. Step 3: Cross multiply
    3,945.22x = 5,912.19 × 2,897.00
  4. Step 4: Simplify right side
    3,945.22x = 17,127,582.26
  5. Step 5: Solve for x
    x = 17,127,582.26/3,945.22
  6. Step 6: Final answer
    x = 4,341.35

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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.