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Finding the Fourth Proportional to 1,662.57, 2,294.87 and 1,607.85

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Solution

The fourth proportional to 1,662.57, 2,294.87 and 1,607.85 is: 2,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.57 : 2,294.87 = 1,607.85 : x
  2. Step 2: Convert to fraction form
    1,662.57/2,294.87 = 1,607.85/x
  3. Step 3: Cross multiply
    1,662.57x = 2,294.87 × 1,607.85
  4. Step 4: Simplify right side
    1,662.57x = 3,689,798.69
  5. Step 5: Solve for x
    x = 3,689,798.69/1,662.57
  6. Step 6: Final answer
    x = 2,219.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.