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Finding the Fourth Proportional to 5,829.90, 8,045.25 and 3,311.90

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Solution

The fourth proportional to 5,829.90, 8,045.25 and 3,311.90 is: 4,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.90 : 8,045.25 = 3,311.90 : x
  2. Step 2: Convert to fraction form
    5,829.90/8,045.25 = 3,311.90/x
  3. Step 3: Cross multiply
    5,829.90x = 8,045.25 × 3,311.90
  4. Step 4: Simplify right side
    5,829.90x = 26,645,023.25
  5. Step 5: Solve for x
    x = 26,645,023.25/5,829.90
  6. Step 6: Final answer
    x = 4,570.41

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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.