Home / 2,509.40-3,764.70-1,209.80

Finding the Fourth Proportional to 2,509.40, 3,764.70 and 1,209.80

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Solution

The fourth proportional to 2,509.40, 3,764.70 and 1,209.80 is: 1,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.40 : 3,764.70 = 1,209.80 : x
  2. Step 2: Convert to fraction form
    2,509.40/3,764.70 = 1,209.80/x
  3. Step 3: Cross multiply
    2,509.40x = 3,764.70 × 1,209.80
  4. Step 4: Simplify right side
    2,509.40x = 4,554,534.06
  5. Step 5: Solve for x
    x = 4,554,534.06/2,509.40
  6. Step 6: Final answer
    x = 1,814.99

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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.