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Finding the Fourth Proportional to 2,110.13, 3,165.03 and 649.19

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Solution

The fourth proportional to 2,110.13, 3,165.03 and 649.19 is: 973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.13 : 3,165.03 = 649.19 : x
  2. Step 2: Convert to fraction form
    2,110.13/3,165.03 = 649.19/x
  3. Step 3: Cross multiply
    2,110.13x = 3,165.03 × 649.19
  4. Step 4: Simplify right side
    2,110.13x = 2,054,705.83
  5. Step 5: Solve for x
    x = 2,054,705.83/2,110.13
  6. Step 6: Final answer
    x = 973.73

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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.