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Finding the Fourth Proportional to 7,456.83, 10,289.53 and 4,099.09

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Solution

The fourth proportional to 7,456.83, 10,289.53 and 4,099.09 is: 5,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.83 : 10,289.53 = 4,099.09 : x
  2. Step 2: Convert to fraction form
    7,456.83/10,289.53 = 4,099.09/x
  3. Step 3: Cross multiply
    7,456.83x = 10,289.53 × 4,099.09
  4. Step 4: Simplify right side
    7,456.83x = 42,177,709.53
  5. Step 5: Solve for x
    x = 42,177,709.53/7,456.83
  6. Step 6: Final answer
    x = 5,656.25

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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.