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Finding the Fourth Proportional to 2,616.21, 3,925.94 and 1,921.16

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Solution

The fourth proportional to 2,616.21, 3,925.94 and 1,921.16 is: 2,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.21 : 3,925.94 = 1,921.16 : x
  2. Step 2: Convert to fraction form
    2,616.21/3,925.94 = 1,921.16/x
  3. Step 3: Cross multiply
    2,616.21x = 3,925.94 × 1,921.16
  4. Step 4: Simplify right side
    2,616.21x = 7,542,359.10
  5. Step 5: Solve for x
    x = 7,542,359.10/2,616.21
  6. Step 6: Final answer
    x = 2,882.93

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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.