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Finding the Fourth Proportional to 4,321, 6,486.54 and 2,012.68

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Solution

The fourth proportional to 4,321, 6,486.54 and 2,012.68 is: 3,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321 : 6,486.54 = 2,012.68 : x
  2. Step 2: Convert to fraction form
    4,321/6,486.54 = 2,012.68/x
  3. Step 3: Cross multiply
    4,321x = 6,486.54 × 2,012.68
  4. Step 4: Simplify right side
    4,321x = 13,055,329.33
  5. Step 5: Solve for x
    x = 13,055,329.33/4,321
  6. Step 6: Final answer
    x = 3,021.37

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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.