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Finding the Fourth Proportional to 5,203.64, 7,180.78 and 2,845.32

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Solution

The fourth proportional to 5,203.64, 7,180.78 and 2,845.32 is: 3,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.64 : 7,180.78 = 2,845.32 : x
  2. Step 2: Convert to fraction form
    5,203.64/7,180.78 = 2,845.32/x
  3. Step 3: Cross multiply
    5,203.64x = 7,180.78 × 2,845.32
  4. Step 4: Simplify right side
    5,203.64x = 20,431,616.95
  5. Step 5: Solve for x
    x = 20,431,616.95/5,203.64
  6. Step 6: Final answer
    x = 3,926.41

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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.