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Finding the Fourth Proportional to 12,653.75, 18,980.63 and 3,419.75

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Solution

The fourth proportional to 12,653.75, 18,980.63 and 3,419.75 is: 5,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.75 : 18,980.63 = 3,419.75 : x
  2. Step 2: Convert to fraction form
    12,653.75/18,980.63 = 3,419.75/x
  3. Step 3: Cross multiply
    12,653.75x = 18,980.63 × 3,419.75
  4. Step 4: Simplify right side
    12,653.75x = 64,909,009.44
  5. Step 5: Solve for x
    x = 64,909,009.44/12,653.75
  6. Step 6: Final answer
    x = 5,129.63

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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.