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Finding the Fourth Proportional to 3,772.84, 5,205.10 and 2,780.50

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Solution

The fourth proportional to 3,772.84, 5,205.10 and 2,780.50 is: 3,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.84 : 5,205.10 = 2,780.50 : x
  2. Step 2: Convert to fraction form
    3,772.84/5,205.10 = 2,780.50/x
  3. Step 3: Cross multiply
    3,772.84x = 5,205.10 × 2,780.50
  4. Step 4: Simplify right side
    3,772.84x = 14,472,780.55
  5. Step 5: Solve for x
    x = 14,472,780.55/3,772.84
  6. Step 6: Final answer
    x = 3,836.04

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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.