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Finding the Fourth Proportional to 2,387.66, 3,581.46 and 927.83

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Solution

The fourth proportional to 2,387.66, 3,581.46 and 927.83 is: 1,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.66 : 3,581.46 = 927.83 : x
  2. Step 2: Convert to fraction form
    2,387.66/3,581.46 = 927.83/x
  3. Step 3: Cross multiply
    2,387.66x = 3,581.46 × 927.83
  4. Step 4: Simplify right side
    2,387.66x = 3,322,994.99
  5. Step 5: Solve for x
    x = 3,322,994.99/2,387.66
  6. Step 6: Final answer
    x = 1,391.74

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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.