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Finding the Fourth Proportional to 13,819.01, 20,728.44 and 3,430.76

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Solution

The fourth proportional to 13,819.01, 20,728.44 and 3,430.76 is: 5,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.01 : 20,728.44 = 3,430.76 : x
  2. Step 2: Convert to fraction form
    13,819.01/20,728.44 = 3,430.76/x
  3. Step 3: Cross multiply
    13,819.01x = 20,728.44 × 3,430.76
  4. Step 4: Simplify right side
    13,819.01x = 71,114,199.17
  5. Step 5: Solve for x
    x = 71,114,199.17/13,819.01
  6. Step 6: Final answer
    x = 5,146.12

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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.