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Finding the Fourth Proportional to 2,711.92, 3,740.56 and 1,662.16

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Solution

The fourth proportional to 2,711.92, 3,740.56 and 1,662.16 is: 2,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.92 : 3,740.56 = 1,662.16 : x
  2. Step 2: Convert to fraction form
    2,711.92/3,740.56 = 1,662.16/x
  3. Step 3: Cross multiply
    2,711.92x = 3,740.56 × 1,662.16
  4. Step 4: Simplify right side
    2,711.92x = 6,217,409.21
  5. Step 5: Solve for x
    x = 6,217,409.21/2,711.92
  6. Step 6: Final answer
    x = 2,292.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.