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Finding the Fourth Proportional to 7,551.85, 10,420.38 and 4,194.34

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Solution

The fourth proportional to 7,551.85, 10,420.38 and 4,194.34 is: 5,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.85 : 10,420.38 = 4,194.34 : x
  2. Step 2: Convert to fraction form
    7,551.85/10,420.38 = 4,194.34/x
  3. Step 3: Cross multiply
    7,551.85x = 10,420.38 × 4,194.34
  4. Step 4: Simplify right side
    7,551.85x = 43,706,616.65
  5. Step 5: Solve for x
    x = 43,706,616.65/7,551.85
  6. Step 6: Final answer
    x = 5,787.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.