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Finding the Fourth Proportional to 2,532.12, 3,792.06 and 1,946.40

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Solution

The fourth proportional to 2,532.12, 3,792.06 and 1,946.40 is: 2,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.12 : 3,792.06 = 1,946.40 : x
  2. Step 2: Convert to fraction form
    2,532.12/3,792.06 = 1,946.40/x
  3. Step 3: Cross multiply
    2,532.12x = 3,792.06 × 1,946.40
  4. Step 4: Simplify right side
    2,532.12x = 7,380,865.58
  5. Step 5: Solve for x
    x = 7,380,865.58/2,532.12
  6. Step 6: Final answer
    x = 2,914.90

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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.