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Finding the Fourth Proportional to 13,425.00, 20,106.83 and 6,409.94

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Solution

The fourth proportional to 13,425.00, 20,106.83 and 6,409.94 is: 9,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.00 : 20,106.83 = 6,409.94 : x
  2. Step 2: Convert to fraction form
    13,425.00/20,106.83 = 6,409.94/x
  3. Step 3: Cross multiply
    13,425.00x = 20,106.83 × 6,409.94
  4. Step 4: Simplify right side
    13,425.00x = 128,883,541.84
  5. Step 5: Solve for x
    x = 128,883,541.84/13,425.00
  6. Step 6: Final answer
    x = 9,600.27

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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.