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Finding the Fourth Proportional to 2,631.40, 3,946.38 and 987.82

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Solution

The fourth proportional to 2,631.40, 3,946.38 and 987.82 is: 1,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.40 : 3,946.38 = 987.82 : x
  2. Step 2: Convert to fraction form
    2,631.40/3,946.38 = 987.82/x
  3. Step 3: Cross multiply
    2,631.40x = 3,946.38 × 987.82
  4. Step 4: Simplify right side
    2,631.40x = 3,898,313.09
  5. Step 5: Solve for x
    x = 3,898,313.09/2,631.40
  6. Step 6: Final answer
    x = 1,481.46

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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.