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Finding the Fourth Proportional to 3,842.90, 5,764.35 and 3,113.90

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Solution

The fourth proportional to 3,842.90, 5,764.35 and 3,113.90 is: 4,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.90 : 5,764.35 = 3,113.90 : x
  2. Step 2: Convert to fraction form
    3,842.90/5,764.35 = 3,113.90/x
  3. Step 3: Cross multiply
    3,842.90x = 5,764.35 × 3,113.90
  4. Step 4: Simplify right side
    3,842.90x = 17,949,609.47
  5. Step 5: Solve for x
    x = 17,949,609.47/3,842.90
  6. Step 6: Final answer
    x = 4,670.85

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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.