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Finding the Fourth Proportional to 4,718.82, 7,078.23 and 1,431.93

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Solution

The fourth proportional to 4,718.82, 7,078.23 and 1,431.93 is: 2,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.82 : 7,078.23 = 1,431.93 : x
  2. Step 2: Convert to fraction form
    4,718.82/7,078.23 = 1,431.93/x
  3. Step 3: Cross multiply
    4,718.82x = 7,078.23 × 1,431.93
  4. Step 4: Simplify right side
    4,718.82x = 10,135,529.88
  5. Step 5: Solve for x
    x = 10,135,529.88/4,718.82
  6. Step 6: Final answer
    x = 2,147.90

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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.