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Finding the Fourth Proportional to 20,586, 28,415.20 and 13,134

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Solution

The fourth proportional to 20,586, 28,415.20 and 13,134 is: 18,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 28,415.20 = 13,134 : x
  2. Step 2: Convert to fraction form
    20,586/28,415.20 = 13,134/x
  3. Step 3: Cross multiply
    20,586x = 28,415.20 × 13,134
  4. Step 4: Simplify right side
    20,586x = 373,205,236.80
  5. Step 5: Solve for x
    x = 373,205,236.80/20,586
  6. Step 6: Final answer
    x = 18,129.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.