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Finding the Fourth Proportional to 30,486.63, 45,735.63 and 13,847.82

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Solution

The fourth proportional to 30,486.63, 45,735.63 and 13,847.82 is: 20,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.63 : 45,735.63 = 13,847.82 : x
  2. Step 2: Convert to fraction form
    30,486.63/45,735.63 = 13,847.82/x
  3. Step 3: Cross multiply
    30,486.63x = 45,735.63 × 13,847.82
  4. Step 4: Simplify right side
    30,486.63x = 633,338,771.83
  5. Step 5: Solve for x
    x = 633,338,771.83/30,486.63
  6. Step 6: Final answer
    x = 20,774.31

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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.