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Finding the Fourth Proportional to 7,170.28, 9,894.64 and 3,983.78

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Solution

The fourth proportional to 7,170.28, 9,894.64 and 3,983.78 is: 5,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.28 : 9,894.64 = 3,983.78 : x
  2. Step 2: Convert to fraction form
    7,170.28/9,894.64 = 3,983.78/x
  3. Step 3: Cross multiply
    7,170.28x = 9,894.64 × 3,983.78
  4. Step 4: Simplify right side
    7,170.28x = 39,418,009.51
  5. Step 5: Solve for x
    x = 39,418,009.51/7,170.28
  6. Step 6: Final answer
    x = 5,497.42

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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.