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Finding the Fourth Proportional to 2,385.06, 3,578.34 and 741.84

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Solution

The fourth proportional to 2,385.06, 3,578.34 and 741.84 is: 1,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.06 : 3,578.34 = 741.84 : x
  2. Step 2: Convert to fraction form
    2,385.06/3,578.34 = 741.84/x
  3. Step 3: Cross multiply
    2,385.06x = 3,578.34 × 741.84
  4. Step 4: Simplify right side
    2,385.06x = 2,654,555.75
  5. Step 5: Solve for x
    x = 2,654,555.75/2,385.06
  6. Step 6: Final answer
    x = 1,112.99

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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.