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Finding the Fourth Proportional to 7,852.93, 11,779.41 and 1,929.82

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Solution

The fourth proportional to 7,852.93, 11,779.41 and 1,929.82 is: 2,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.93 : 11,779.41 = 1,929.82 : x
  2. Step 2: Convert to fraction form
    7,852.93/11,779.41 = 1,929.82/x
  3. Step 3: Cross multiply
    7,852.93x = 11,779.41 × 1,929.82
  4. Step 4: Simplify right side
    7,852.93x = 22,732,141.01
  5. Step 5: Solve for x
    x = 22,732,141.01/7,852.93
  6. Step 6: Final answer
    x = 2,894.73

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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.