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Finding the Fourth Proportional to 13,380, 20,071.14 and 4,146

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Solution

The fourth proportional to 13,380, 20,071.14 and 4,146 is: 6,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380 : 20,071.14 = 4,146 : x
  2. Step 2: Convert to fraction form
    13,380/20,071.14 = 4,146/x
  3. Step 3: Cross multiply
    13,380x = 20,071.14 × 4,146
  4. Step 4: Simplify right side
    13,380x = 83,214,946.44
  5. Step 5: Solve for x
    x = 83,214,946.44/13,380
  6. Step 6: Final answer
    x = 6,219.35

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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.