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Finding the Fourth Proportional to 3,755.61, 5,632.73 and 1,415.83

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Solution

The fourth proportional to 3,755.61, 5,632.73 and 1,415.83 is: 2,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.61 : 5,632.73 = 1,415.83 : x
  2. Step 2: Convert to fraction form
    3,755.61/5,632.73 = 1,415.83/x
  3. Step 3: Cross multiply
    3,755.61x = 5,632.73 × 1,415.83
  4. Step 4: Simplify right side
    3,755.61x = 7,974,959.95
  5. Step 5: Solve for x
    x = 7,974,959.95/3,755.61
  6. Step 6: Final answer
    x = 2,123.48

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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.