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Finding the Fourth Proportional to 3,040.58, 4,561.05 and 960.66

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Solution

The fourth proportional to 3,040.58, 4,561.05 and 960.66 is: 1,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.58 : 4,561.05 = 960.66 : x
  2. Step 2: Convert to fraction form
    3,040.58/4,561.05 = 960.66/x
  3. Step 3: Cross multiply
    3,040.58x = 4,561.05 × 960.66
  4. Step 4: Simplify right side
    3,040.58x = 4,381,618.29
  5. Step 5: Solve for x
    x = 4,381,618.29/3,040.58
  6. Step 6: Final answer
    x = 1,441.05

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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.