Home / 5,387.82-8,077.84-1,688.06

Finding the Fourth Proportional to 5,387.82, 8,077.84 and 1,688.06

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Solution

The fourth proportional to 5,387.82, 8,077.84 and 1,688.06 is: 2,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.82 : 8,077.84 = 1,688.06 : x
  2. Step 2: Convert to fraction form
    5,387.82/8,077.84 = 1,688.06/x
  3. Step 3: Cross multiply
    5,387.82x = 8,077.84 × 1,688.06
  4. Step 4: Simplify right side
    5,387.82x = 13,635,878.59
  5. Step 5: Solve for x
    x = 13,635,878.59/5,387.82
  6. Step 6: Final answer
    x = 2,530.87

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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.