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Finding the Fourth Proportional to 25,379.80, 38,070.78 and 7,849.96

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Solution

The fourth proportional to 25,379.80, 38,070.78 and 7,849.96 is: 11,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,379.80 : 38,070.78 = 7,849.96 : x
  2. Step 2: Convert to fraction form
    25,379.80/38,070.78 = 7,849.96/x
  3. Step 3: Cross multiply
    25,379.80x = 38,070.78 × 7,849.96
  4. Step 4: Simplify right side
    25,379.80x = 298,854,100.17
  5. Step 5: Solve for x
    x = 298,854,100.17/25,379.80
  6. Step 6: Final answer
    x = 11,775.27

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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.