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Finding the Fourth Proportional to 3,431.73, 5,147.46 and 1,582.23

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Solution

The fourth proportional to 3,431.73, 5,147.46 and 1,582.23 is: 2,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.73 : 5,147.46 = 1,582.23 : x
  2. Step 2: Convert to fraction form
    3,431.73/5,147.46 = 1,582.23/x
  3. Step 3: Cross multiply
    3,431.73x = 5,147.46 × 1,582.23
  4. Step 4: Simplify right side
    3,431.73x = 8,144,465.64
  5. Step 5: Solve for x
    x = 8,144,465.64/3,431.73
  6. Step 6: Final answer
    x = 2,373.28

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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.