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Finding the Fourth Proportional to 5,390.92, 8,083 and 2,428.75

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Solution

The fourth proportional to 5,390.92, 8,083 and 2,428.75 is: 3,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.92 : 8,083 = 2,428.75 : x
  2. Step 2: Convert to fraction form
    5,390.92/8,083 = 2,428.75/x
  3. Step 3: Cross multiply
    5,390.92x = 8,083 × 2,428.75
  4. Step 4: Simplify right side
    5,390.92x = 19,631,586.25
  5. Step 5: Solve for x
    x = 19,631,586.25/5,390.92
  6. Step 6: Final answer
    x = 3,641.60

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Why These Related Problems?

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