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Finding the Fourth Proportional to 25,379, 38,070.30 and 7,846.55

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Solution

The fourth proportional to 25,379, 38,070.30 and 7,846.55 is: 11,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,379 : 38,070.30 = 7,846.55 : x
  2. Step 2: Convert to fraction form
    25,379/38,070.30 = 7,846.55/x
  3. Step 3: Cross multiply
    25,379x = 38,070.30 × 7,846.55
  4. Step 4: Simplify right side
    25,379x = 298,720,512.47
  5. Step 5: Solve for x
    x = 298,720,512.47/25,379
  6. Step 6: Final answer
    x = 11,770.38

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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.