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Finding the Fourth Proportional to 2,905.73, 4,358.13 and 2,415.28

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Solution

The fourth proportional to 2,905.73, 4,358.13 and 2,415.28 is: 3,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.73 : 4,358.13 = 2,415.28 : x
  2. Step 2: Convert to fraction form
    2,905.73/4,358.13 = 2,415.28/x
  3. Step 3: Cross multiply
    2,905.73x = 4,358.13 × 2,415.28
  4. Step 4: Simplify right side
    2,905.73x = 10,526,104.23
  5. Step 5: Solve for x
    x = 10,526,104.23/2,905.73
  6. Step 6: Final answer
    x = 3,622.53

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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.