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Finding the Fourth Proportional to 7,864.03, 11,779.03 and 3,697.80

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Solution

The fourth proportional to 7,864.03, 11,779.03 and 3,697.80 is: 5,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.03 : 11,779.03 = 3,697.80 : x
  2. Step 2: Convert to fraction form
    7,864.03/11,779.03 = 3,697.80/x
  3. Step 3: Cross multiply
    7,864.03x = 11,779.03 × 3,697.80
  4. Step 4: Simplify right side
    7,864.03x = 43,556,438.24
  5. Step 5: Solve for x
    x = 43,556,438.24/7,864.03
  6. Step 6: Final answer
    x = 5,538.69

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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.