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Finding the Fourth Proportional to 3,200.86, 4,800.48 and 1,008.46

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Solution

The fourth proportional to 3,200.86, 4,800.48 and 1,008.46 is: 1,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.86 : 4,800.48 = 1,008.46 : x
  2. Step 2: Convert to fraction form
    3,200.86/4,800.48 = 1,008.46/x
  3. Step 3: Cross multiply
    3,200.86x = 4,800.48 × 1,008.46
  4. Step 4: Simplify right side
    3,200.86x = 4,841,092.06
  5. Step 5: Solve for x
    x = 4,841,092.06/3,200.86
  6. Step 6: Final answer
    x = 1,512.43

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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.