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Finding the Fourth Proportional to 7,779.54, 11,669.25 and 1,936.11

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Solution

The fourth proportional to 7,779.54, 11,669.25 and 1,936.11 is: 2,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.54 : 11,669.25 = 1,936.11 : x
  2. Step 2: Convert to fraction form
    7,779.54/11,669.25 = 1,936.11/x
  3. Step 3: Cross multiply
    7,779.54x = 11,669.25 × 1,936.11
  4. Step 4: Simplify right side
    7,779.54x = 22,592,951.62
  5. Step 5: Solve for x
    x = 22,592,951.62/7,779.54
  6. Step 6: Final answer
    x = 2,904.15

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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.