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Finding the Fourth Proportional to 14,212.62, 21,316.44 and 6,419.58

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Solution

The fourth proportional to 14,212.62, 21,316.44 and 6,419.58 is: 9,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.62 : 21,316.44 = 6,419.58 : x
  2. Step 2: Convert to fraction form
    14,212.62/21,316.44 = 6,419.58/x
  3. Step 3: Cross multiply
    14,212.62x = 21,316.44 × 6,419.58
  4. Step 4: Simplify right side
    14,212.62x = 136,842,591.90
  5. Step 5: Solve for x
    x = 136,842,591.90/14,212.62
  6. Step 6: Final answer
    x = 9,628.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.