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Finding the Fourth Proportional to 2,661.84, 3,990.24 and 2,084.40

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Solution

The fourth proportional to 2,661.84, 3,990.24 and 2,084.40 is: 3,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,990.24 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,990.24 = 2,084.40/x
  3. Step 3: Cross multiply
    2,661.84x = 3,990.24 × 2,084.40
  4. Step 4: Simplify right side
    2,661.84x = 8,317,256.26
  5. Step 5: Solve for x
    x = 8,317,256.26/2,661.84
  6. Step 6: Final answer
    x = 3,124.63

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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.