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Finding the Fourth Proportional to 2,897.52, 3,998.58 and 1,571.22

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Solution

The fourth proportional to 2,897.52, 3,998.58 and 1,571.22 is: 2,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.52 : 3,998.58 = 1,571.22 : x
  2. Step 2: Convert to fraction form
    2,897.52/3,998.58 = 1,571.22/x
  3. Step 3: Cross multiply
    2,897.52x = 3,998.58 × 1,571.22
  4. Step 4: Simplify right side
    2,897.52x = 6,282,648.87
  5. Step 5: Solve for x
    x = 6,282,648.87/2,897.52
  6. Step 6: Final answer
    x = 2,168.28

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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.