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Finding the Fourth Proportional to 1,843.54, 2,762.79 and 976.12

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Solution

The fourth proportional to 1,843.54, 2,762.79 and 976.12 is: 1,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.54 : 2,762.79 = 976.12 : x
  2. Step 2: Convert to fraction form
    1,843.54/2,762.79 = 976.12/x
  3. Step 3: Cross multiply
    1,843.54x = 2,762.79 × 976.12
  4. Step 4: Simplify right side
    1,843.54x = 2,696,814.57
  5. Step 5: Solve for x
    x = 2,696,814.57/1,843.54
  6. Step 6: Final answer
    x = 1,462.85

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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.