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Finding the Fourth Proportional to 13,004.92, 19,509 and 4,237.48

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Solution

The fourth proportional to 13,004.92, 19,509 and 4,237.48 is: 6,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.92 : 19,509 = 4,237.48 : x
  2. Step 2: Convert to fraction form
    13,004.92/19,509 = 4,237.48/x
  3. Step 3: Cross multiply
    13,004.92x = 19,509 × 4,237.48
  4. Step 4: Simplify right side
    13,004.92x = 82,668,997.32
  5. Step 5: Solve for x
    x = 82,668,997.32/13,004.92
  6. Step 6: Final answer
    x = 6,356.75

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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.