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Finding the Fourth Proportional to 3,780.70, 5,671.46 and 1,007.46

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Solution

The fourth proportional to 3,780.70, 5,671.46 and 1,007.46 is: 1,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.70 : 5,671.46 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    3,780.70/5,671.46 = 1,007.46/x
  3. Step 3: Cross multiply
    3,780.70x = 5,671.46 × 1,007.46
  4. Step 4: Simplify right side
    3,780.70x = 5,713,771.61
  5. Step 5: Solve for x
    x = 5,713,771.61/3,780.70
  6. Step 6: Final answer
    x = 1,511.30

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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.