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Finding the Fourth Proportional to 3,452.67, 5,178.67 and 1,605.20

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Solution

The fourth proportional to 3,452.67, 5,178.67 and 1,605.20 is: 2,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.67 : 5,178.67 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    3,452.67/5,178.67 = 1,605.20/x
  3. Step 3: Cross multiply
    3,452.67x = 5,178.67 × 1,605.20
  4. Step 4: Simplify right side
    3,452.67x = 8,312,771.18
  5. Step 5: Solve for x
    x = 8,312,771.18/3,452.67
  6. Step 6: Final answer
    x = 2,407.64

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1.5x scale

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.