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Finding the Fourth Proportional to 3,200.93, 4,801.39 and 1,009.88

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Solution

The fourth proportional to 3,200.93, 4,801.39 and 1,009.88 is: 1,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.93 : 4,801.39 = 1,009.88 : x
  2. Step 2: Convert to fraction form
    3,200.93/4,801.39 = 1,009.88/x
  3. Step 3: Cross multiply
    3,200.93x = 4,801.39 × 1,009.88
  4. Step 4: Simplify right side
    3,200.93x = 4,848,824.89
  5. Step 5: Solve for x
    x = 4,848,824.89/3,200.93
  6. Step 6: Final answer
    x = 1,514.82

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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.