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Finding the Fourth Proportional to 1,984.54, 2,976.81 and 815.17

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Solution

The fourth proportional to 1,984.54, 2,976.81 and 815.17 is: 1,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.54 : 2,976.81 = 815.17 : x
  2. Step 2: Convert to fraction form
    1,984.54/2,976.81 = 815.17/x
  3. Step 3: Cross multiply
    1,984.54x = 2,976.81 × 815.17
  4. Step 4: Simplify right side
    1,984.54x = 2,426,606.21
  5. Step 5: Solve for x
    x = 2,426,606.21/1,984.54
  6. Step 6: Final answer
    x = 1,222.76

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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.