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Finding the Fourth Proportional to 2,108.05, 3,162.68 and 647.42

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Solution

The fourth proportional to 2,108.05, 3,162.68 and 647.42 is: 971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.05 : 3,162.68 = 647.42 : x
  2. Step 2: Convert to fraction form
    2,108.05/3,162.68 = 647.42/x
  3. Step 3: Cross multiply
    2,108.05x = 3,162.68 × 647.42
  4. Step 4: Simplify right side
    2,108.05x = 2,047,568.09
  5. Step 5: Solve for x
    x = 2,047,568.09/2,108.05
  6. Step 6: Final answer
    x = 971.31

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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.