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Finding the Fourth Proportional to 3,231.97, 4,847.95 and 923.47

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Solution

The fourth proportional to 3,231.97, 4,847.95 and 923.47 is: 1,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.97 : 4,847.95 = 923.47 : x
  2. Step 2: Convert to fraction form
    3,231.97/4,847.95 = 923.47/x
  3. Step 3: Cross multiply
    3,231.97x = 4,847.95 × 923.47
  4. Step 4: Simplify right side
    3,231.97x = 4,476,925.42
  5. Step 5: Solve for x
    x = 4,476,925.42/3,231.97
  6. Step 6: Final answer
    x = 1,385.20

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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.