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Finding the Fourth Proportional to 2,383.06, 3,573.28 and 739.15

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Solution

The fourth proportional to 2,383.06, 3,573.28 and 739.15 is: 1,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.06 : 3,573.28 = 739.15 : x
  2. Step 2: Convert to fraction form
    2,383.06/3,573.28 = 739.15/x
  3. Step 3: Cross multiply
    2,383.06x = 3,573.28 × 739.15
  4. Step 4: Simplify right side
    2,383.06x = 2,641,189.91
  5. Step 5: Solve for x
    x = 2,641,189.91/2,383.06
  6. Step 6: Final answer
    x = 1,108.32

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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.