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Finding the Fourth Proportional to 3,287.73, 4,930.85 and 947.73

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Solution

The fourth proportional to 3,287.73, 4,930.85 and 947.73 is: 1,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.73 : 4,930.85 = 947.73 : x
  2. Step 2: Convert to fraction form
    3,287.73/4,930.85 = 947.73/x
  3. Step 3: Cross multiply
    3,287.73x = 4,930.85 × 947.73
  4. Step 4: Simplify right side
    3,287.73x = 4,673,114.47
  5. Step 5: Solve for x
    x = 4,673,114.47/3,287.73
  6. Step 6: Final answer
    x = 1,421.38

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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.