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Finding the Fourth Proportional to 14,469.63, 21,698.93 and 5,107.90

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Solution

The fourth proportional to 14,469.63, 21,698.93 and 5,107.90 is: 7,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.63 : 21,698.93 = 5,107.90 : x
  2. Step 2: Convert to fraction form
    14,469.63/21,698.93 = 5,107.90/x
  3. Step 3: Cross multiply
    14,469.63x = 21,698.93 × 5,107.90
  4. Step 4: Simplify right side
    14,469.63x = 110,835,964.55
  5. Step 5: Solve for x
    x = 110,835,964.55/14,469.63
  6. Step 6: Final answer
    x = 7,659.90

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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.