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Finding the Fourth Proportional to 13,311.90, 19,929.45 and 8,127.90

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Solution

The fourth proportional to 13,311.90, 19,929.45 and 8,127.90 is: 12,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.90 : 19,929.45 = 8,127.90 : x
  2. Step 2: Convert to fraction form
    13,311.90/19,929.45 = 8,127.90/x
  3. Step 3: Cross multiply
    13,311.90x = 19,929.45 × 8,127.90
  4. Step 4: Simplify right side
    13,311.90x = 161,984,576.66
  5. Step 5: Solve for x
    x = 161,984,576.66/13,311.90
  6. Step 6: Final answer
    x = 12,168.40

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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.