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Finding the Fourth Proportional to 2,759.09, 4,137.05 and 909.69

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Solution

The fourth proportional to 2,759.09, 4,137.05 and 909.69 is: 1,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.09 : 4,137.05 = 909.69 : x
  2. Step 2: Convert to fraction form
    2,759.09/4,137.05 = 909.69/x
  3. Step 3: Cross multiply
    2,759.09x = 4,137.05 × 909.69
  4. Step 4: Simplify right side
    2,759.09x = 3,763,428.47
  5. Step 5: Solve for x
    x = 3,763,428.47/2,759.09
  6. Step 6: Final answer
    x = 1,364.01

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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.