Home / 2,209.10-3,313.77-649.10

Finding the Fourth Proportional to 2,209.10, 3,313.77 and 649.10

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Solution

The fourth proportional to 2,209.10, 3,313.77 and 649.10 is: 973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.10 : 3,313.77 = 649.10 : x
  2. Step 2: Convert to fraction form
    2,209.10/3,313.77 = 649.10/x
  3. Step 3: Cross multiply
    2,209.10x = 3,313.77 × 649.10
  4. Step 4: Simplify right side
    2,209.10x = 2,150,968.11
  5. Step 5: Solve for x
    x = 2,150,968.11/2,209.10
  6. Step 6: Final answer
    x = 973.69

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1.5x scale

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.