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Finding the Fourth Proportional to 2,385.41, 3,578.09 and 925.58

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Solution

The fourth proportional to 2,385.41, 3,578.09 and 925.58 is: 1,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.41 : 3,578.09 = 925.58 : x
  2. Step 2: Convert to fraction form
    2,385.41/3,578.09 = 925.58/x
  3. Step 3: Cross multiply
    2,385.41x = 3,578.09 × 925.58
  4. Step 4: Simplify right side
    2,385.41x = 3,311,812.86
  5. Step 5: Solve for x
    x = 3,311,812.86/2,385.41
  6. Step 6: Final answer
    x = 1,388.37

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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.