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Finding the Fourth Proportional to 4,718.72, 7,078.12 and 1,431.80

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Solution

The fourth proportional to 4,718.72, 7,078.12 and 1,431.80 is: 2,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.72 : 7,078.12 = 1,431.80 : x
  2. Step 2: Convert to fraction form
    4,718.72/7,078.12 = 1,431.80/x
  3. Step 3: Cross multiply
    4,718.72x = 7,078.12 × 1,431.80
  4. Step 4: Simplify right side
    4,718.72x = 10,134,452.22
  5. Step 5: Solve for x
    x = 10,134,452.22/4,718.72
  6. Step 6: Final answer
    x = 2,147.71

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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.