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Finding the Fourth Proportional to 1,672.83, 2,509.25 and 1,571.34

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Solution

The fourth proportional to 1,672.83, 2,509.25 and 1,571.34 is: 2,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.83 : 2,509.25 = 1,571.34 : x
  2. Step 2: Convert to fraction form
    1,672.83/2,509.25 = 1,571.34/x
  3. Step 3: Cross multiply
    1,672.83x = 2,509.25 × 1,571.34
  4. Step 4: Simplify right side
    1,672.83x = 3,942,884.90
  5. Step 5: Solve for x
    x = 3,942,884.90/1,672.83
  6. Step 6: Final answer
    x = 2,357.01

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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.