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Finding the Fourth Proportional to 13,807.84, 20,711.52 and 3,419.56

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Solution

The fourth proportional to 13,807.84, 20,711.52 and 3,419.56 is: 5,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.84 : 20,711.52 = 3,419.56 : x
  2. Step 2: Convert to fraction form
    13,807.84/20,711.52 = 3,419.56/x
  3. Step 3: Cross multiply
    13,807.84x = 20,711.52 × 3,419.56
  4. Step 4: Simplify right side
    13,807.84x = 70,824,285.33
  5. Step 5: Solve for x
    x = 70,824,285.33/13,807.84
  6. Step 6: Final answer
    x = 5,129.28

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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.