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Finding the Fourth Proportional to 9,765.12, 14,650.72 and 2,839.64

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Solution

The fourth proportional to 9,765.12, 14,650.72 and 2,839.64 is: 4,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.12 : 14,650.72 = 2,839.64 : x
  2. Step 2: Convert to fraction form
    9,765.12/14,650.72 = 2,839.64/x
  3. Step 3: Cross multiply
    9,765.12x = 14,650.72 × 2,839.64
  4. Step 4: Simplify right side
    9,765.12x = 41,602,770.54
  5. Step 5: Solve for x
    x = 41,602,770.54/9,765.12
  6. Step 6: Final answer
    x = 4,260.34

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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.