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Finding the Fourth Proportional to 3,510.12, 5,266.50 and 1,636.97

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Solution

The fourth proportional to 3,510.12, 5,266.50 and 1,636.97 is: 2,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.12 : 5,266.50 = 1,636.97 : x
  2. Step 2: Convert to fraction form
    3,510.12/5,266.50 = 1,636.97/x
  3. Step 3: Cross multiply
    3,510.12x = 5,266.50 × 1,636.97
  4. Step 4: Simplify right side
    3,510.12x = 8,621,079.24
  5. Step 5: Solve for x
    x = 8,621,079.24/3,510.12
  6. Step 6: Final answer
    x = 2,456.07

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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.