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Finding the Fourth Proportional to 2,509.89, 3,761.19 and 1,780.89

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Solution

The fourth proportional to 2,509.89, 3,761.19 and 1,780.89 is: 2,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.89 : 3,761.19 = 1,780.89 : x
  2. Step 2: Convert to fraction form
    2,509.89/3,761.19 = 1,780.89/x
  3. Step 3: Cross multiply
    2,509.89x = 3,761.19 × 1,780.89
  4. Step 4: Simplify right side
    2,509.89x = 6,698,265.66
  5. Step 5: Solve for x
    x = 6,698,265.66/2,509.89
  6. Step 6: Final answer
    x = 2,668.75

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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.