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Finding the Fourth Proportional to 3,087.62, 4,631.88 and 896.06

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Solution

The fourth proportional to 3,087.62, 4,631.88 and 896.06 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.62 : 4,631.88 = 896.06 : x
  2. Step 2: Convert to fraction form
    3,087.62/4,631.88 = 896.06/x
  3. Step 3: Cross multiply
    3,087.62x = 4,631.88 × 896.06
  4. Step 4: Simplify right side
    3,087.62x = 4,150,437.91
  5. Step 5: Solve for x
    x = 4,150,437.91/3,087.62
  6. Step 6: Final answer
    x = 1,344.22

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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.