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Finding the Fourth Proportional to 2,897.31, 3,998.25 and 1,571.01

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Solution

The fourth proportional to 2,897.31, 3,998.25 and 1,571.01 is: 2,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.31 : 3,998.25 = 1,571.01 : x
  2. Step 2: Convert to fraction form
    2,897.31/3,998.25 = 1,571.01/x
  3. Step 3: Cross multiply
    2,897.31x = 3,998.25 × 1,571.01
  4. Step 4: Simplify right side
    2,897.31x = 6,281,290.73
  5. Step 5: Solve for x
    x = 6,281,290.73/2,897.31
  6. Step 6: Final answer
    x = 2,167.97

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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.