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Finding the Fourth Proportional to 1,752.33, 2,420.28 and 1,161.84

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Solution

The fourth proportional to 1,752.33, 2,420.28 and 1,161.84 is: 1,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.33 : 2,420.28 = 1,161.84 : x
  2. Step 2: Convert to fraction form
    1,752.33/2,420.28 = 1,161.84/x
  3. Step 3: Cross multiply
    1,752.33x = 2,420.28 × 1,161.84
  4. Step 4: Simplify right side
    1,752.33x = 2,811,978.12
  5. Step 5: Solve for x
    x = 2,811,978.12/1,752.33
  6. Step 6: Final answer
    x = 1,604.71

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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.