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Finding the Fourth Proportional to 2,876, 3,969.36 and 2,176.16

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Solution

The fourth proportional to 2,876, 3,969.36 and 2,176.16 is: 3,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 3,969.36 = 2,176.16 : x
  2. Step 2: Convert to fraction form
    2,876/3,969.36 = 2,176.16/x
  3. Step 3: Cross multiply
    2,876x = 3,969.36 × 2,176.16
  4. Step 4: Simplify right side
    2,876x = 8,637,962.46
  5. Step 5: Solve for x
    x = 8,637,962.46/2,876
  6. Step 6: Final answer
    x = 3,003.46

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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.