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Finding the Fourth Proportional to 1,908.29, 2,865.85 and 1,562.29

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Solution

The fourth proportional to 1,908.29, 2,865.85 and 1,562.29 is: 2,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.29 : 2,865.85 = 1,562.29 : x
  2. Step 2: Convert to fraction form
    1,908.29/2,865.85 = 1,562.29/x
  3. Step 3: Cross multiply
    1,908.29x = 2,865.85 × 1,562.29
  4. Step 4: Simplify right side
    1,908.29x = 4,477,277.73
  5. Step 5: Solve for x
    x = 4,477,277.73/1,908.29
  6. Step 6: Final answer
    x = 2,346.22

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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.