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Finding the Fourth Proportional to 3,057.03, 4,585.02 and 865.25

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Solution

The fourth proportional to 3,057.03, 4,585.02 and 865.25 is: 1,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.03 : 4,585.02 = 865.25 : x
  2. Step 2: Convert to fraction form
    3,057.03/4,585.02 = 865.25/x
  3. Step 3: Cross multiply
    3,057.03x = 4,585.02 × 865.25
  4. Step 4: Simplify right side
    3,057.03x = 3,967,165.63
  5. Step 5: Solve for x
    x = 3,967,165.63/3,057.03
  6. Step 6: Final answer
    x = 1,297.72

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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.