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Finding the Fourth Proportional to 13,380.71, 20,070.05 and 5,059.98

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Solution

The fourth proportional to 13,380.71, 20,070.05 and 5,059.98 is: 7,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.71 : 20,070.05 = 5,059.98 : x
  2. Step 2: Convert to fraction form
    13,380.71/20,070.05 = 5,059.98/x
  3. Step 3: Cross multiply
    13,380.71x = 20,070.05 × 5,059.98
  4. Step 4: Simplify right side
    13,380.71x = 101,554,026.30
  5. Step 5: Solve for x
    x = 101,554,026.30/13,380.71
  6. Step 6: Final answer
    x = 7,589.59

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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.