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Finding the Fourth Proportional to 1,986.54, 2,979.81 and 817.17

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Solution

The fourth proportional to 1,986.54, 2,979.81 and 817.17 is: 1,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.54 : 2,979.81 = 817.17 : x
  2. Step 2: Convert to fraction form
    1,986.54/2,979.81 = 817.17/x
  3. Step 3: Cross multiply
    1,986.54x = 2,979.81 × 817.17
  4. Step 4: Simplify right side
    1,986.54x = 2,435,011.34
  5. Step 5: Solve for x
    x = 2,435,011.34/1,986.54
  6. Step 6: Final answer
    x = 1,225.76

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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.