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Finding the Fourth Proportional to 13,419.40, 20,128.26 and 4,059.40

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Solution

The fourth proportional to 13,419.40, 20,128.26 and 4,059.40 is: 6,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.40 : 20,128.26 = 4,059.40 : x
  2. Step 2: Convert to fraction form
    13,419.40/20,128.26 = 4,059.40/x
  3. Step 3: Cross multiply
    13,419.40x = 20,128.26 × 4,059.40
  4. Step 4: Simplify right side
    13,419.40x = 81,708,658.64
  5. Step 5: Solve for x
    x = 81,708,658.64/13,419.40
  6. Step 6: Final answer
    x = 6,088.85

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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.