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Finding the Fourth Proportional to 13,527.36, 20,274 and 6,129.60

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Solution

The fourth proportional to 13,527.36, 20,274 and 6,129.60 is: 9,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.36 : 20,274 = 6,129.60 : x
  2. Step 2: Convert to fraction form
    13,527.36/20,274 = 6,129.60/x
  3. Step 3: Cross multiply
    13,527.36x = 20,274 × 6,129.60
  4. Step 4: Simplify right side
    13,527.36x = 124,271,510.40
  5. Step 5: Solve for x
    x = 124,271,510.40/13,527.36
  6. Step 6: Final answer
    x = 9,186.68

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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.