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Finding the Fourth Proportional to 2,631.81, 3,944.94 and 876.35

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Solution

The fourth proportional to 2,631.81, 3,944.94 and 876.35 is: 1,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.81 : 3,944.94 = 876.35 : x
  2. Step 2: Convert to fraction form
    2,631.81/3,944.94 = 876.35/x
  3. Step 3: Cross multiply
    2,631.81x = 3,944.94 × 876.35
  4. Step 4: Simplify right side
    2,631.81x = 3,457,128.44
  5. Step 5: Solve for x
    x = 3,457,128.44/2,631.81
  6. Step 6: Final answer
    x = 1,313.59

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1.5x scale

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.