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Finding the Fourth Proportional to 9,765.56, 14,650.74 and 2,840.12

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Solution

The fourth proportional to 9,765.56, 14,650.74 and 2,840.12 is: 4,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.56 : 14,650.74 = 2,840.12 : x
  2. Step 2: Convert to fraction form
    9,765.56/14,650.74 = 2,840.12/x
  3. Step 3: Cross multiply
    9,765.56x = 14,650.74 × 2,840.12
  4. Step 4: Simplify right side
    9,765.56x = 41,609,859.69
  5. Step 5: Solve for x
    x = 41,609,859.69/9,765.56
  6. Step 6: Final answer
    x = 4,260.88

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1.5x scale

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.