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Finding the Fourth Proportional to 2,540.29, 3,810.60 and 785.45

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Solution

The fourth proportional to 2,540.29, 3,810.60 and 785.45 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.29 : 3,810.60 = 785.45 : x
  2. Step 2: Convert to fraction form
    2,540.29/3,810.60 = 785.45/x
  3. Step 3: Cross multiply
    2,540.29x = 3,810.60 × 785.45
  4. Step 4: Simplify right side
    2,540.29x = 2,993,035.77
  5. Step 5: Solve for x
    x = 2,993,035.77/2,540.29
  6. Step 6: Final answer
    x = 1,178.23

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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.