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Finding the Fourth Proportional to 2,523.88, 3,784.12 and 1,290.28

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Solution

The fourth proportional to 2,523.88, 3,784.12 and 1,290.28 is: 1,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.88 : 3,784.12 = 1,290.28 : x
  2. Step 2: Convert to fraction form
    2,523.88/3,784.12 = 1,290.28/x
  3. Step 3: Cross multiply
    2,523.88x = 3,784.12 × 1,290.28
  4. Step 4: Simplify right side
    2,523.88x = 4,882,574.35
  5. Step 5: Solve for x
    x = 4,882,574.35/2,523.88
  6. Step 6: Final answer
    x = 1,934.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.