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Finding the Fourth Proportional to 2,387.15, 3,578.18 and 905.68

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Solution

The fourth proportional to 2,387.15, 3,578.18 and 905.68 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.15 : 3,578.18 = 905.68 : x
  2. Step 2: Convert to fraction form
    2,387.15/3,578.18 = 905.68/x
  3. Step 3: Cross multiply
    2,387.15x = 3,578.18 × 905.68
  4. Step 4: Simplify right side
    2,387.15x = 3,240,686.01
  5. Step 5: Solve for x
    x = 3,240,686.01/2,387.15
  6. Step 6: Final answer
    x = 1,357.56

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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.