Home / 2,209.07-3,313.80-649.05

Finding the Fourth Proportional to 2,209.07, 3,313.80 and 649.05

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Solution

The fourth proportional to 2,209.07, 3,313.80 and 649.05 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.07 : 3,313.80 = 649.05 : x
  2. Step 2: Convert to fraction form
    2,209.07/3,313.80 = 649.05/x
  3. Step 3: Cross multiply
    2,209.07x = 3,313.80 × 649.05
  4. Step 4: Simplify right side
    2,209.07x = 2,150,821.89
  5. Step 5: Solve for x
    x = 2,150,821.89/2,209.07
  6. Step 6: Final answer
    x = 973.63

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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.