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Finding the Fourth Proportional to 5,625.84, 7,761.78 and 3,638.91

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Solution

The fourth proportional to 5,625.84, 7,761.78 and 3,638.91 is: 5,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.84 : 7,761.78 = 3,638.91 : x
  2. Step 2: Convert to fraction form
    5,625.84/7,761.78 = 3,638.91/x
  3. Step 3: Cross multiply
    5,625.84x = 7,761.78 × 3,638.91
  4. Step 4: Simplify right side
    5,625.84x = 28,244,418.86
  5. Step 5: Solve for x
    x = 28,244,418.86/5,625.84
  6. Step 6: Final answer
    x = 5,020.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.