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Finding the Fourth Proportional to 5,352.72, 7,986.90 and 4,768.08

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Solution

The fourth proportional to 5,352.72, 7,986.90 and 4,768.08 is: 7,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.72 : 7,986.90 = 4,768.08 : x
  2. Step 2: Convert to fraction form
    5,352.72/7,986.90 = 4,768.08/x
  3. Step 3: Cross multiply
    5,352.72x = 7,986.90 × 4,768.08
  4. Step 4: Simplify right side
    5,352.72x = 38,082,178.15
  5. Step 5: Solve for x
    x = 38,082,178.15/5,352.72
  6. Step 6: Final answer
    x = 7,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.