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Finding the Fourth Proportional to 9,852, 14,778.96 and 4,380

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Solution

The fourth proportional to 9,852, 14,778.96 and 4,380 is: 6,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 14,778.96 = 4,380 : x
  2. Step 2: Convert to fraction form
    9,852/14,778.96 = 4,380/x
  3. Step 3: Cross multiply
    9,852x = 14,778.96 × 4,380
  4. Step 4: Simplify right side
    9,852x = 64,731,844.80
  5. Step 5: Solve for x
    x = 64,731,844.80/9,852
  6. Step 6: Final answer
    x = 6,570.43

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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.