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Finding the Fourth Proportional to 13,470, 20,205.20 and 4,236

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Solution

The fourth proportional to 13,470, 20,205.20 and 4,236 is: 6,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470 : 20,205.20 = 4,236 : x
  2. Step 2: Convert to fraction form
    13,470/20,205.20 = 4,236/x
  3. Step 3: Cross multiply
    13,470x = 20,205.20 × 4,236
  4. Step 4: Simplify right side
    13,470x = 85,589,227.20
  5. Step 5: Solve for x
    x = 85,589,227.20/13,470
  6. Step 6: Final answer
    x = 6,354.06

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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.