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Finding the Fourth Proportional to 12,571.52, 18,854.40 and 5,648

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Solution

The fourth proportional to 12,571.52, 18,854.40 and 5,648 is: 8,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.52 : 18,854.40 = 5,648 : x
  2. Step 2: Convert to fraction form
    12,571.52/18,854.40 = 5,648/x
  3. Step 3: Cross multiply
    12,571.52x = 18,854.40 × 5,648
  4. Step 4: Simplify right side
    12,571.52x = 106,489,651.20
  5. Step 5: Solve for x
    x = 106,489,651.20/12,571.52
  6. Step 6: Final answer
    x = 8,470.71

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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.