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Finding the Fourth Proportional to 2,387.78, 3,582.73 and 927.04

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Solution

The fourth proportional to 2,387.78, 3,582.73 and 927.04 is: 1,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.78 : 3,582.73 = 927.04 : x
  2. Step 2: Convert to fraction form
    2,387.78/3,582.73 = 927.04/x
  3. Step 3: Cross multiply
    2,387.78x = 3,582.73 × 927.04
  4. Step 4: Simplify right side
    2,387.78x = 3,321,334.02
  5. Step 5: Solve for x
    x = 3,321,334.02/2,387.78
  6. Step 6: Final answer
    x = 1,390.97

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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.