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Finding the Fourth Proportional to 3,878.70, 5,810.71 and 2,292.67

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Solution

The fourth proportional to 3,878.70, 5,810.71 and 2,292.67 is: 3,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.70 : 5,810.71 = 2,292.67 : x
  2. Step 2: Convert to fraction form
    3,878.70/5,810.71 = 2,292.67/x
  3. Step 3: Cross multiply
    3,878.70x = 5,810.71 × 2,292.67
  4. Step 4: Simplify right side
    3,878.70x = 13,322,046.33
  5. Step 5: Solve for x
    x = 13,322,046.33/3,878.70
  6. Step 6: Final answer
    x = 3,434.67

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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.