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Finding the Fourth Proportional to 2,778.12, 4,167.29 and 830.32

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Solution

The fourth proportional to 2,778.12, 4,167.29 and 830.32 is: 1,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.12 : 4,167.29 = 830.32 : x
  2. Step 2: Convert to fraction form
    2,778.12/4,167.29 = 830.32/x
  3. Step 3: Cross multiply
    2,778.12x = 4,167.29 × 830.32
  4. Step 4: Simplify right side
    2,778.12x = 3,460,175.89
  5. Step 5: Solve for x
    x = 3,460,175.89/2,778.12
  6. Step 6: Final answer
    x = 1,245.51

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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.