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Finding the Fourth Proportional to 2,778.50, 4,167.14 and 830.85

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Solution

The fourth proportional to 2,778.50, 4,167.14 and 830.85 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.50 : 4,167.14 = 830.85 : x
  2. Step 2: Convert to fraction form
    2,778.50/4,167.14 = 830.85/x
  3. Step 3: Cross multiply
    2,778.50x = 4,167.14 × 830.85
  4. Step 4: Simplify right side
    2,778.50x = 3,462,264.11
  5. Step 5: Solve for x
    x = 3,462,264.11/2,778.50
  6. Step 6: Final answer
    x = 1,246.09

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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.