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Finding the Fourth Proportional to 5,815.20, 8,023.20 and 3,457.56

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Solution

The fourth proportional to 5,815.20, 8,023.20 and 3,457.56 is: 4,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.20 : 8,023.20 = 3,457.56 : x
  2. Step 2: Convert to fraction form
    5,815.20/8,023.20 = 3,457.56/x
  3. Step 3: Cross multiply
    5,815.20x = 8,023.20 × 3,457.56
  4. Step 4: Simplify right side
    5,815.20x = 27,740,695.39
  5. Step 5: Solve for x
    x = 27,740,695.39/5,815.20
  6. Step 6: Final answer
    x = 4,770.38

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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.