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Finding the Fourth Proportional to 1,786.50, 2,657.09 and 1,749.60

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Solution

The fourth proportional to 1,786.50, 2,657.09 and 1,749.60 is: 2,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.50 : 2,657.09 = 1,749.60 : x
  2. Step 2: Convert to fraction form
    1,786.50/2,657.09 = 1,749.60/x
  3. Step 3: Cross multiply
    1,786.50x = 2,657.09 × 1,749.60
  4. Step 4: Simplify right side
    1,786.50x = 4,648,849.04
  5. Step 5: Solve for x
    x = 4,648,849.04/1,786.50
  6. Step 6: Final answer
    x = 2,602.21

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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.