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Finding the Fourth Proportional to 7,852, 11,778.24 and 2,380

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Solution

The fourth proportional to 7,852, 11,778.24 and 2,380 is: 3,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 11,778.24 = 2,380 : x
  2. Step 2: Convert to fraction form
    7,852/11,778.24 = 2,380/x
  3. Step 3: Cross multiply
    7,852x = 11,778.24 × 2,380
  4. Step 4: Simplify right side
    7,852x = 28,032,211.20
  5. Step 5: Solve for x
    x = 28,032,211.20/7,852
  6. Step 6: Final answer
    x = 3,570.07

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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.