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Finding the Fourth Proportional to 3,087.15, 4,631.54 and 896.06

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Solution

The fourth proportional to 3,087.15, 4,631.54 and 896.06 is: 1,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.15 : 4,631.54 = 896.06 : x
  2. Step 2: Convert to fraction form
    3,087.15/4,631.54 = 896.06/x
  3. Step 3: Cross multiply
    3,087.15x = 4,631.54 × 896.06
  4. Step 4: Simplify right side
    3,087.15x = 4,150,110.09
  5. Step 5: Solve for x
    x = 4,150,110.09/3,087.15
  6. Step 6: Final answer
    x = 1,344.32

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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.