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Finding the Fourth Proportional to 1,438.59, 2,157.87 and 951.53

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Solution

The fourth proportional to 1,438.59, 2,157.87 and 951.53 is: 1,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.59 : 2,157.87 = 951.53 : x
  2. Step 2: Convert to fraction form
    1,438.59/2,157.87 = 951.53/x
  3. Step 3: Cross multiply
    1,438.59x = 2,157.87 × 951.53
  4. Step 4: Simplify right side
    1,438.59x = 2,053,270.82
  5. Step 5: Solve for x
    x = 2,053,270.82/1,438.59
  6. Step 6: Final answer
    x = 1,427.28

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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.