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Finding the Fourth Proportional to 2,136.98, 3,206.56 and 983.54

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Solution

The fourth proportional to 2,136.98, 3,206.56 and 983.54 is: 1,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.98 : 3,206.56 = 983.54 : x
  2. Step 2: Convert to fraction form
    2,136.98/3,206.56 = 983.54/x
  3. Step 3: Cross multiply
    2,136.98x = 3,206.56 × 983.54
  4. Step 4: Simplify right side
    2,136.98x = 3,153,780.02
  5. Step 5: Solve for x
    x = 3,153,780.02/2,136.98
  6. Step 6: Final answer
    x = 1,475.81

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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.