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Finding the Fourth Proportional to 5,290.26, 7,933.86 and 1,779.88

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Solution

The fourth proportional to 5,290.26, 7,933.86 and 1,779.88 is: 2,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.26 : 7,933.86 = 1,779.88 : x
  2. Step 2: Convert to fraction form
    5,290.26/7,933.86 = 1,779.88/x
  3. Step 3: Cross multiply
    5,290.26x = 7,933.86 × 1,779.88
  4. Step 4: Simplify right side
    5,290.26x = 14,121,318.74
  5. Step 5: Solve for x
    x = 14,121,318.74/5,290.26
  6. Step 6: Final answer
    x = 2,669.31

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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.