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Finding the Fourth Proportional to 2,153.97, 3,230.97 and 983.73

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Solution

The fourth proportional to 2,153.97, 3,230.97 and 983.73 is: 1,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.97 : 3,230.97 = 983.73 : x
  2. Step 2: Convert to fraction form
    2,153.97/3,230.97 = 983.73/x
  3. Step 3: Cross multiply
    2,153.97x = 3,230.97 × 983.73
  4. Step 4: Simplify right side
    2,153.97x = 3,178,402.12
  5. Step 5: Solve for x
    x = 3,178,402.12/2,153.97
  6. Step 6: Final answer
    x = 1,475.60

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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.