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Finding the Fourth Proportional to 3,430.78, 5,147.08 and 1,786.84

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Solution

The fourth proportional to 3,430.78, 5,147.08 and 1,786.84 is: 2,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.78 : 5,147.08 = 1,786.84 : x
  2. Step 2: Convert to fraction form
    3,430.78/5,147.08 = 1,786.84/x
  3. Step 3: Cross multiply
    3,430.78x = 5,147.08 × 1,786.84
  4. Step 4: Simplify right side
    3,430.78x = 9,197,008.43
  5. Step 5: Solve for x
    x = 9,197,008.43/3,430.78
  6. Step 6: Final answer
    x = 2,680.73

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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.