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Finding the Fourth Proportional to 3,457.54, 5,188.37 and 3,238.63

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Solution

The fourth proportional to 3,457.54, 5,188.37 and 3,238.63 is: 4,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.54 : 5,188.37 = 3,238.63 : x
  2. Step 2: Convert to fraction form
    3,457.54/5,188.37 = 3,238.63/x
  3. Step 3: Cross multiply
    3,457.54x = 5,188.37 × 3,238.63
  4. Step 4: Simplify right side
    3,457.54x = 16,803,191.30
  5. Step 5: Solve for x
    x = 16,803,191.30/3,457.54
  6. Step 6: Final answer
    x = 4,859.87

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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.