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Finding the Fourth Proportional to 2,903.89, 4,008 and 1,785.43

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Solution

The fourth proportional to 2,903.89, 4,008 and 1,785.43 is: 2,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.89 : 4,008 = 1,785.43 : x
  2. Step 2: Convert to fraction form
    2,903.89/4,008 = 1,785.43/x
  3. Step 3: Cross multiply
    2,903.89x = 4,008 × 1,785.43
  4. Step 4: Simplify right side
    2,903.89x = 7,156,003.44
  5. Step 5: Solve for x
    x = 7,156,003.44/2,903.89
  6. Step 6: Final answer
    x = 2,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.