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Finding the Fourth Proportional to 3,476.65, 4,799.96 and 2,678.47

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Solution

The fourth proportional to 3,476.65, 4,799.96 and 2,678.47 is: 3,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.65 : 4,799.96 = 2,678.47 : x
  2. Step 2: Convert to fraction form
    3,476.65/4,799.96 = 2,678.47/x
  3. Step 3: Cross multiply
    3,476.65x = 4,799.96 × 2,678.47
  4. Step 4: Simplify right side
    3,476.65x = 12,856,551.51
  5. Step 5: Solve for x
    x = 12,856,551.51/3,476.65
  6. Step 6: Final answer
    x = 3,697.97

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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.