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Finding the Fourth Proportional to 3,797.76, 5,694.72 and 1,488

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Solution

The fourth proportional to 3,797.76, 5,694.72 and 1,488 is: 2,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.76 : 5,694.72 = 1,488 : x
  2. Step 2: Convert to fraction form
    3,797.76/5,694.72 = 1,488/x
  3. Step 3: Cross multiply
    3,797.76x = 5,694.72 × 1,488
  4. Step 4: Simplify right side
    3,797.76x = 8,473,743.36
  5. Step 5: Solve for x
    x = 8,473,743.36/3,797.76
  6. Step 6: Final answer
    x = 2,231.25

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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.