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Finding the Fourth Proportional to 3,971.80, 5,957.70 and 3,145.60

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Solution

The fourth proportional to 3,971.80, 5,957.70 and 3,145.60 is: 4,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.80 : 5,957.70 = 3,145.60 : x
  2. Step 2: Convert to fraction form
    3,971.80/5,957.70 = 3,145.60/x
  3. Step 3: Cross multiply
    3,971.80x = 5,957.70 × 3,145.60
  4. Step 4: Simplify right side
    3,971.80x = 18,740,541.12
  5. Step 5: Solve for x
    x = 18,740,541.12/3,971.80
  6. Step 6: Final answer
    x = 4,718.40

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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.