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Finding the Fourth Proportional to 2,768.70, 3,820.82 and 1,526.70

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Solution

The fourth proportional to 2,768.70, 3,820.82 and 1,526.70 is: 2,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.70 : 3,820.82 = 1,526.70 : x
  2. Step 2: Convert to fraction form
    2,768.70/3,820.82 = 1,526.70/x
  3. Step 3: Cross multiply
    2,768.70x = 3,820.82 × 1,526.70
  4. Step 4: Simplify right side
    2,768.70x = 5,833,245.89
  5. Step 5: Solve for x
    x = 5,833,245.89/2,768.70
  6. Step 6: Final answer
    x = 2,106.85

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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.