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Finding the Fourth Proportional to 2,371.76, 3,555.72 and 1,539.68

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Solution

The fourth proportional to 2,371.76, 3,555.72 and 1,539.68 is: 2,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.76 : 3,555.72 = 1,539.68 : x
  2. Step 2: Convert to fraction form
    2,371.76/3,555.72 = 1,539.68/x
  3. Step 3: Cross multiply
    2,371.76x = 3,555.72 × 1,539.68
  4. Step 4: Simplify right side
    2,371.76x = 5,474,670.97
  5. Step 5: Solve for x
    x = 5,474,670.97/2,371.76
  6. Step 6: Final answer
    x = 2,308.27

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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.