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Finding the Fourth Proportional to 3,884.64, 5,360.80 and 2,116.22

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Solution

The fourth proportional to 3,884.64, 5,360.80 and 2,116.22 is: 2,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.64 : 5,360.80 = 2,116.22 : x
  2. Step 2: Convert to fraction form
    3,884.64/5,360.80 = 2,116.22/x
  3. Step 3: Cross multiply
    3,884.64x = 5,360.80 × 2,116.22
  4. Step 4: Simplify right side
    3,884.64x = 11,344,632.18
  5. Step 5: Solve for x
    x = 11,344,632.18/3,884.64
  6. Step 6: Final answer
    x = 2,920.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.