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Finding the Fourth Proportional to 30,546, 45,819 and 9,771.12

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Solution

The fourth proportional to 30,546, 45,819 and 9,771.12 is: 14,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 45,819 = 9,771.12 : x
  2. Step 2: Convert to fraction form
    30,546/45,819 = 9,771.12/x
  3. Step 3: Cross multiply
    30,546x = 45,819 × 9,771.12
  4. Step 4: Simplify right side
    30,546x = 447,702,947.28
  5. Step 5: Solve for x
    x = 447,702,947.28/30,546
  6. Step 6: Final answer
    x = 14,656.68

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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.