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Finding the Fourth Proportional to 2,808.78, 4,213.62 and 960.06

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Solution

The fourth proportional to 2,808.78, 4,213.62 and 960.06 is: 1,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.78 : 4,213.62 = 960.06 : x
  2. Step 2: Convert to fraction form
    2,808.78/4,213.62 = 960.06/x
  3. Step 3: Cross multiply
    2,808.78x = 4,213.62 × 960.06
  4. Step 4: Simplify right side
    2,808.78x = 4,045,328.02
  5. Step 5: Solve for x
    x = 4,045,328.02/2,808.78
  6. Step 6: Final answer
    x = 1,440.24

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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.