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Finding the Fourth Proportional to 2,811.03, 4,217.21 and 962.16

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Solution

The fourth proportional to 2,811.03, 4,217.21 and 962.16 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.03 : 4,217.21 = 962.16 : x
  2. Step 2: Convert to fraction form
    2,811.03/4,217.21 = 962.16/x
  3. Step 3: Cross multiply
    2,811.03x = 4,217.21 × 962.16
  4. Step 4: Simplify right side
    2,811.03x = 4,057,625.96
  5. Step 5: Solve for x
    x = 4,057,625.96/2,811.03
  6. Step 6: Final answer
    x = 1,443.47

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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.