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Finding the Fourth Proportional to 12,779.76, 19,174.40 and 5,757.67

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Solution

The fourth proportional to 12,779.76, 19,174.40 and 5,757.67 is: 8,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.76 : 19,174.40 = 5,757.67 : x
  2. Step 2: Convert to fraction form
    12,779.76/19,174.40 = 5,757.67/x
  3. Step 3: Cross multiply
    12,779.76x = 19,174.40 × 5,757.67
  4. Step 4: Simplify right side
    12,779.76x = 110,399,867.65
  5. Step 5: Solve for x
    x = 110,399,867.65/12,779.76
  6. Step 6: Final answer
    x = 8,638.65

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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.