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Finding the Fourth Proportional to 13,830.37, 20,739.06 and 5,059.15

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Solution

The fourth proportional to 13,830.37, 20,739.06 and 5,059.15 is: 7,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.37 : 20,739.06 = 5,059.15 : x
  2. Step 2: Convert to fraction form
    13,830.37/20,739.06 = 5,059.15/x
  3. Step 3: Cross multiply
    13,830.37x = 20,739.06 × 5,059.15
  4. Step 4: Simplify right side
    13,830.37x = 104,921,911.70
  5. Step 5: Solve for x
    x = 104,921,911.70/13,830.37
  6. Step 6: Final answer
    x = 7,586.34

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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.