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Finding the Fourth Proportional to 2,582.54, 3,873.61 and 939.45

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Solution

The fourth proportional to 2,582.54, 3,873.61 and 939.45 is: 1,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.54 : 3,873.61 = 939.45 : x
  2. Step 2: Convert to fraction form
    2,582.54/3,873.61 = 939.45/x
  3. Step 3: Cross multiply
    2,582.54x = 3,873.61 × 939.45
  4. Step 4: Simplify right side
    2,582.54x = 3,639,073.33
  5. Step 5: Solve for x
    x = 3,639,073.33/2,582.54
  6. Step 6: Final answer
    x = 1,409.11

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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.