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Finding the Fourth Proportional to 5,617.38, 8,427.54 and 5,005.38

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Solution

The fourth proportional to 5,617.38, 8,427.54 and 5,005.38 is: 7,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.38 : 8,427.54 = 5,005.38 : x
  2. Step 2: Convert to fraction form
    5,617.38/8,427.54 = 5,005.38/x
  3. Step 3: Cross multiply
    5,617.38x = 8,427.54 × 5,005.38
  4. Step 4: Simplify right side
    5,617.38x = 42,183,040.17
  5. Step 5: Solve for x
    x = 42,183,040.17/5,617.38
  6. Step 6: Final answer
    x = 7,509.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.