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Finding the Fourth Proportional to 1,438.59, 2,157.89 and 951.54

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Solution

The fourth proportional to 1,438.59, 2,157.89 and 951.54 is: 1,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.59 : 2,157.89 = 951.54 : x
  2. Step 2: Convert to fraction form
    1,438.59/2,157.89 = 951.54/x
  3. Step 3: Cross multiply
    1,438.59x = 2,157.89 × 951.54
  4. Step 4: Simplify right side
    1,438.59x = 2,053,313.89
  5. Step 5: Solve for x
    x = 2,053,313.89/1,438.59
  6. Step 6: Final answer
    x = 1,427.31

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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.