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Finding the Fourth Proportional to 7,779.61, 11,671.04 and 2,849.41

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Solution

The fourth proportional to 7,779.61, 11,671.04 and 2,849.41 is: 4,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.61 : 11,671.04 = 2,849.41 : x
  2. Step 2: Convert to fraction form
    7,779.61/11,671.04 = 2,849.41/x
  3. Step 3: Cross multiply
    7,779.61x = 11,671.04 × 2,849.41
  4. Step 4: Simplify right side
    7,779.61x = 33,255,578.09
  5. Step 5: Solve for x
    x = 33,255,578.09/7,779.61
  6. Step 6: Final answer
    x = 4,274.71

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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.