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Finding the Fourth Proportional to 1,571.92, 2,352.36 and 1,291

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Solution

The fourth proportional to 1,571.92, 2,352.36 and 1,291 is: 1,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.92 : 2,352.36 = 1,291 : x
  2. Step 2: Convert to fraction form
    1,571.92/2,352.36 = 1,291/x
  3. Step 3: Cross multiply
    1,571.92x = 2,352.36 × 1,291
  4. Step 4: Simplify right side
    1,571.92x = 3,036,896.76
  5. Step 5: Solve for x
    x = 3,036,896.76/1,571.92
  6. Step 6: Final answer
    x = 1,931.97

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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.