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Finding the Fourth Proportional to 4,755.81, 7,128.81 and 1,984.10

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Solution

The fourth proportional to 4,755.81, 7,128.81 and 1,984.10 is: 2,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.81 : 7,128.81 = 1,984.10 : x
  2. Step 2: Convert to fraction form
    4,755.81/7,128.81 = 1,984.10/x
  3. Step 3: Cross multiply
    4,755.81x = 7,128.81 × 1,984.10
  4. Step 4: Simplify right side
    4,755.81x = 14,144,236.28
  5. Step 5: Solve for x
    x = 14,144,236.28/4,755.81
  6. Step 6: Final answer
    x = 2,974.09

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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.