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Finding the Fourth Proportional to 8,292.26, 11,421.53 and 6,374.42

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Solution

The fourth proportional to 8,292.26, 11,421.53 and 6,374.42 is: 8,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.26 : 11,421.53 = 6,374.42 : x
  2. Step 2: Convert to fraction form
    8,292.26/11,421.53 = 6,374.42/x
  3. Step 3: Cross multiply
    8,292.26x = 11,421.53 × 6,374.42
  4. Step 4: Simplify right side
    8,292.26x = 72,805,540.28
  5. Step 5: Solve for x
    x = 72,805,540.28/8,292.26
  6. Step 6: Final answer
    x = 8,779.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.