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Finding the Fourth Proportional to 2,513.13, 3,768.99 and 758.13

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Solution

The fourth proportional to 2,513.13, 3,768.99 and 758.13 is: 1,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.13 : 3,768.99 = 758.13 : x
  2. Step 2: Convert to fraction form
    2,513.13/3,768.99 = 758.13/x
  3. Step 3: Cross multiply
    2,513.13x = 3,768.99 × 758.13
  4. Step 4: Simplify right side
    2,513.13x = 2,857,384.39
  5. Step 5: Solve for x
    x = 2,857,384.39/2,513.13
  6. Step 6: Final answer
    x = 1,136.98

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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.