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Finding the Fourth Proportional to 5,678.97, 7,836.75 and 3,439.68

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Solution

The fourth proportional to 5,678.97, 7,836.75 and 3,439.68 is: 4,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.97 : 7,836.75 = 3,439.68 : x
  2. Step 2: Convert to fraction form
    5,678.97/7,836.75 = 3,439.68/x
  3. Step 3: Cross multiply
    5,678.97x = 7,836.75 × 3,439.68
  4. Step 4: Simplify right side
    5,678.97x = 26,955,912.24
  5. Step 5: Solve for x
    x = 26,955,912.24/5,678.97
  6. Step 6: Final answer
    x = 4,746.62

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1.5x scale

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.