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Finding the Fourth Proportional to 7,486.56, 10,331.73 and 4,129.50

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Solution

The fourth proportional to 7,486.56, 10,331.73 and 4,129.50 is: 5,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.56 : 10,331.73 = 4,129.50 : x
  2. Step 2: Convert to fraction form
    7,486.56/10,331.73 = 4,129.50/x
  3. Step 3: Cross multiply
    7,486.56x = 10,331.73 × 4,129.50
  4. Step 4: Simplify right side
    7,486.56x = 42,664,879.04
  5. Step 5: Solve for x
    x = 42,664,879.04/7,486.56
  6. Step 6: Final answer
    x = 5,698.86

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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.