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Finding the Fourth Proportional to 3,172.64, 4,378 and 1,775.20

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Solution

The fourth proportional to 3,172.64, 4,378 and 1,775.20 is: 2,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.64 : 4,378 = 1,775.20 : x
  2. Step 2: Convert to fraction form
    3,172.64/4,378 = 1,775.20/x
  3. Step 3: Cross multiply
    3,172.64x = 4,378 × 1,775.20
  4. Step 4: Simplify right side
    3,172.64x = 7,771,825.60
  5. Step 5: Solve for x
    x = 7,771,825.60/3,172.64
  6. Step 6: Final answer
    x = 2,449.64

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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.