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Finding the Fourth Proportional to 5,755.11, 7,972.13 and 5,638.47

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Solution

The fourth proportional to 5,755.11, 7,972.13 and 5,638.47 is: 7,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.11 : 7,972.13 = 5,638.47 : x
  2. Step 2: Convert to fraction form
    5,755.11/7,972.13 = 5,638.47/x
  3. Step 3: Cross multiply
    5,755.11x = 7,972.13 × 5,638.47
  4. Step 4: Simplify right side
    5,755.11x = 44,950,629.94
  5. Step 5: Solve for x
    x = 44,950,629.94/5,755.11
  6. Step 6: Final answer
    x = 7,810.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.