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Finding the Fourth Proportional to 2,665.76, 3,678.58 and 1,671

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Solution

The fourth proportional to 2,665.76, 3,678.58 and 1,671 is: 2,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.76 : 3,678.58 = 1,671 : x
  2. Step 2: Convert to fraction form
    2,665.76/3,678.58 = 1,671/x
  3. Step 3: Cross multiply
    2,665.76x = 3,678.58 × 1,671
  4. Step 4: Simplify right side
    2,665.76x = 6,146,907.18
  5. Step 5: Solve for x
    x = 6,146,907.18/2,665.76
  6. Step 6: Final answer
    x = 2,305.87

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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.