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Finding the Fourth Proportional to 7,170.90, 9,894.58 and 3,983.68

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Solution

The fourth proportional to 7,170.90, 9,894.58 and 3,983.68 is: 5,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.90 : 9,894.58 = 3,983.68 : x
  2. Step 2: Convert to fraction form
    7,170.90/9,894.58 = 3,983.68/x
  3. Step 3: Cross multiply
    7,170.90x = 9,894.58 × 3,983.68
  4. Step 4: Simplify right side
    7,170.90x = 39,416,840.45
  5. Step 5: Solve for x
    x = 39,416,840.45/7,170.90
  6. Step 6: Final answer
    x = 5,496.78

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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.