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Finding the Fourth Proportional to 14,129.94, 21,203.04 and 5,251.50

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Solution

The fourth proportional to 14,129.94, 21,203.04 and 5,251.50 is: 7,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.94 : 21,203.04 = 5,251.50 : x
  2. Step 2: Convert to fraction form
    14,129.94/21,203.04 = 5,251.50/x
  3. Step 3: Cross multiply
    14,129.94x = 21,203.04 × 5,251.50
  4. Step 4: Simplify right side
    14,129.94x = 111,347,764.56
  5. Step 5: Solve for x
    x = 111,347,764.56/14,129.94
  6. Step 6: Final answer
    x = 7,880.27

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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.