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Finding the Fourth Proportional to 1,786, 2,663.56 and 1,662.88

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Solution

The fourth proportional to 1,786, 2,663.56 and 1,662.88 is: 2,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,663.56 = 1,662.88 : x
  2. Step 2: Convert to fraction form
    1,786/2,663.56 = 1,662.88/x
  3. Step 3: Cross multiply
    1,786x = 2,663.56 × 1,662.88
  4. Step 4: Simplify right side
    1,786x = 4,429,180.65
  5. Step 5: Solve for x
    x = 4,429,180.65/1,786
  6. Step 6: Final answer
    x = 2,479.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.