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Finding the Fourth Proportional to 2,768.62, 3,820.65 and 1,509.69

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Solution

The fourth proportional to 2,768.62, 3,820.65 and 1,509.69 is: 2,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.62 : 3,820.65 = 1,509.69 : x
  2. Step 2: Convert to fraction form
    2,768.62/3,820.65 = 1,509.69/x
  3. Step 3: Cross multiply
    2,768.62x = 3,820.65 × 1,509.69
  4. Step 4: Simplify right side
    2,768.62x = 5,767,982.77
  5. Step 5: Solve for x
    x = 5,767,982.77/2,768.62
  6. Step 6: Final answer
    x = 2,083.34

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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.