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Finding the Fourth Proportional to 2,679.83, 4,019.51 and 830.90

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Solution

The fourth proportional to 2,679.83, 4,019.51 and 830.90 is: 1,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.83 : 4,019.51 = 830.90 : x
  2. Step 2: Convert to fraction form
    2,679.83/4,019.51 = 830.90/x
  3. Step 3: Cross multiply
    2,679.83x = 4,019.51 × 830.90
  4. Step 4: Simplify right side
    2,679.83x = 3,339,822.99
  5. Step 5: Solve for x
    x = 3,339,822.99/2,679.83
  6. Step 6: Final answer
    x = 1,246.28

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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.