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Finding the Fourth Proportional to 10,779.12, 16,170.30 and 3,852

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Solution

The fourth proportional to 10,779.12, 16,170.30 and 3,852 is: 5,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.12 : 16,170.30 = 3,852 : x
  2. Step 2: Convert to fraction form
    10,779.12/16,170.30 = 3,852/x
  3. Step 3: Cross multiply
    10,779.12x = 16,170.30 × 3,852
  4. Step 4: Simplify right side
    10,779.12x = 62,287,995.60
  5. Step 5: Solve for x
    x = 62,287,995.60/10,779.12
  6. Step 6: Final answer
    x = 5,778.58

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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.