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Finding the Fourth Proportional to 4,661.16, 6,961.81 and 4,221.48

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Solution

The fourth proportional to 4,661.16, 6,961.81 and 4,221.48 is: 6,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.16 : 6,961.81 = 4,221.48 : x
  2. Step 2: Convert to fraction form
    4,661.16/6,961.81 = 4,221.48/x
  3. Step 3: Cross multiply
    4,661.16x = 6,961.81 × 4,221.48
  4. Step 4: Simplify right side
    4,661.16x = 29,389,141.68
  5. Step 5: Solve for x
    x = 29,389,141.68/4,661.16
  6. Step 6: Final answer
    x = 6,305.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.