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Finding the Fourth Proportional to 4,755.29, 7,129.08 and 1,984.05

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Solution

The fourth proportional to 4,755.29, 7,129.08 and 1,984.05 is: 2,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.29 : 7,129.08 = 1,984.05 : x
  2. Step 2: Convert to fraction form
    4,755.29/7,129.08 = 1,984.05/x
  3. Step 3: Cross multiply
    4,755.29x = 7,129.08 × 1,984.05
  4. Step 4: Simplify right side
    4,755.29x = 14,144,451.17
  5. Step 5: Solve for x
    x = 14,144,451.17/4,755.29
  6. Step 6: Final answer
    x = 2,974.47

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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.