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Finding the Fourth Proportional to 2,616.08, 3,921.64 and 971.51

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Solution

The fourth proportional to 2,616.08, 3,921.64 and 971.51 is: 1,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.08 : 3,921.64 = 971.51 : x
  2. Step 2: Convert to fraction form
    2,616.08/3,921.64 = 971.51/x
  3. Step 3: Cross multiply
    2,616.08x = 3,921.64 × 971.51
  4. Step 4: Simplify right side
    2,616.08x = 3,809,912.48
  5. Step 5: Solve for x
    x = 3,809,912.48/2,616.08
  6. Step 6: Final answer
    x = 1,456.34

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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.