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Finding the Fourth Proportional to 8,357.86, 11,531 and 4,770.24

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Solution

The fourth proportional to 8,357.86, 11,531 and 4,770.24 is: 6,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.86 : 11,531 = 4,770.24 : x
  2. Step 2: Convert to fraction form
    8,357.86/11,531 = 4,770.24/x
  3. Step 3: Cross multiply
    8,357.86x = 11,531 × 4,770.24
  4. Step 4: Simplify right side
    8,357.86x = 55,005,637.44
  5. Step 5: Solve for x
    x = 55,005,637.44/8,357.86
  6. Step 6: Final answer
    x = 6,581.31

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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.