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Finding the Fourth Proportional to 2,867.32, 3,957.12 and 1,608.64

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Solution

The fourth proportional to 2,867.32, 3,957.12 and 1,608.64 is: 2,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.32 : 3,957.12 = 1,608.64 : x
  2. Step 2: Convert to fraction form
    2,867.32/3,957.12 = 1,608.64/x
  3. Step 3: Cross multiply
    2,867.32x = 3,957.12 × 1,608.64
  4. Step 4: Simplify right side
    2,867.32x = 6,365,581.52
  5. Step 5: Solve for x
    x = 6,365,581.52/2,867.32
  6. Step 6: Final answer
    x = 2,220.05

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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.