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Finding the Fourth Proportional to 6,783, 9,358.92 and 3,948.63

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Solution

The fourth proportional to 6,783, 9,358.92 and 3,948.63 is: 5,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783 : 9,358.92 = 3,948.63 : x
  2. Step 2: Convert to fraction form
    6,783/9,358.92 = 3,948.63/x
  3. Step 3: Cross multiply
    6,783x = 9,358.92 × 3,948.63
  4. Step 4: Simplify right side
    6,783x = 36,954,912.28
  5. Step 5: Solve for x
    x = 36,954,912.28/6,783
  6. Step 6: Final answer
    x = 5,448.17

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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.