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Finding the Fourth Proportional to 2,604.16, 3,904.08 and 960.40

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Solution

The fourth proportional to 2,604.16, 3,904.08 and 960.40 is: 1,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.16 : 3,904.08 = 960.40 : x
  2. Step 2: Convert to fraction form
    2,604.16/3,904.08 = 960.40/x
  3. Step 3: Cross multiply
    2,604.16x = 3,904.08 × 960.40
  4. Step 4: Simplify right side
    2,604.16x = 3,749,478.43
  5. Step 5: Solve for x
    x = 3,749,478.43/2,604.16
  6. Step 6: Final answer
    x = 1,439.80

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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.