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Finding the Fourth Proportional to 2,897.78, 3,998.93 and 1,571.46

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Solution

The fourth proportional to 2,897.78, 3,998.93 and 1,571.46 is: 2,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.78 : 3,998.93 = 1,571.46 : x
  2. Step 2: Convert to fraction form
    2,897.78/3,998.93 = 1,571.46/x
  3. Step 3: Cross multiply
    2,897.78x = 3,998.93 × 1,571.46
  4. Step 4: Simplify right side
    2,897.78x = 6,284,150.68
  5. Step 5: Solve for x
    x = 6,284,150.68/2,897.78
  6. Step 6: Final answer
    x = 2,168.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.