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Finding the Fourth Proportional to 2,859.70, 4,286.62 and 1,820.48

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Solution

The fourth proportional to 2,859.70, 4,286.62 and 1,820.48 is: 2,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.70 : 4,286.62 = 1,820.48 : x
  2. Step 2: Convert to fraction form
    2,859.70/4,286.62 = 1,820.48/x
  3. Step 3: Cross multiply
    2,859.70x = 4,286.62 × 1,820.48
  4. Step 4: Simplify right side
    2,859.70x = 7,803,705.98
  5. Step 5: Solve for x
    x = 7,803,705.98/2,859.70
  6. Step 6: Final answer
    x = 2,728.85

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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.