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Finding the Fourth Proportional to 2,604.95, 3,904.70 and 960.45

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Solution

The fourth proportional to 2,604.95, 3,904.70 and 960.45 is: 1,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.95 : 3,904.70 = 960.45 : x
  2. Step 2: Convert to fraction form
    2,604.95/3,904.70 = 960.45/x
  3. Step 3: Cross multiply
    2,604.95x = 3,904.70 × 960.45
  4. Step 4: Simplify right side
    2,604.95x = 3,750,264.31
  5. Step 5: Solve for x
    x = 3,750,264.31/2,604.95
  6. Step 6: Final answer
    x = 1,439.67

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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.