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Finding the Fourth Proportional to 5,384.82, 8,077.24 and 1,489.24

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Solution

The fourth proportional to 5,384.82, 8,077.24 and 1,489.24 is: 2,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.82 : 8,077.24 = 1,489.24 : x
  2. Step 2: Convert to fraction form
    5,384.82/8,077.24 = 1,489.24/x
  3. Step 3: Cross multiply
    5,384.82x = 8,077.24 × 1,489.24
  4. Step 4: Simplify right side
    5,384.82x = 12,028,908.51
  5. Step 5: Solve for x
    x = 12,028,908.51/5,384.82
  6. Step 6: Final answer
    x = 2,233.86

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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.