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Finding the Fourth Proportional to 1,903, 2,852.35 and 1,439.28

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Solution

The fourth proportional to 1,903, 2,852.35 and 1,439.28 is: 2,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903 : 2,852.35 = 1,439.28 : x
  2. Step 2: Convert to fraction form
    1,903/2,852.35 = 1,439.28/x
  3. Step 3: Cross multiply
    1,903x = 2,852.35 × 1,439.28
  4. Step 4: Simplify right side
    1,903x = 4,105,330.31
  5. Step 5: Solve for x
    x = 4,105,330.31/1,903
  6. Step 6: Final answer
    x = 2,157.29

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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.