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Finding the Fourth Proportional to 3,519.78, 5,277.84 and 1,762.88

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Solution

The fourth proportional to 3,519.78, 5,277.84 and 1,762.88 is: 2,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.78 : 5,277.84 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    3,519.78/5,277.84 = 1,762.88/x
  3. Step 3: Cross multiply
    3,519.78x = 5,277.84 × 1,762.88
  4. Step 4: Simplify right side
    3,519.78x = 9,304,198.58
  5. Step 5: Solve for x
    x = 9,304,198.58/3,519.78
  6. Step 6: Final answer
    x = 2,643.40

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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.