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Finding the Fourth Proportional to 5,170.84, 7,755.90 and 2,972.68

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Solution

The fourth proportional to 5,170.84, 7,755.90 and 2,972.68 is: 4,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.84 : 7,755.90 = 2,972.68 : x
  2. Step 2: Convert to fraction form
    5,170.84/7,755.90 = 2,972.68/x
  3. Step 3: Cross multiply
    5,170.84x = 7,755.90 × 2,972.68
  4. Step 4: Simplify right side
    5,170.84x = 23,055,808.81
  5. Step 5: Solve for x
    x = 23,055,808.81/5,170.84
  6. Step 6: Final answer
    x = 4,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.