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Finding the Fourth Proportional to 5,742.25, 8,614.82 and 1,638.25

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Solution

The fourth proportional to 5,742.25, 8,614.82 and 1,638.25 is: 2,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.25 : 8,614.82 = 1,638.25 : x
  2. Step 2: Convert to fraction form
    5,742.25/8,614.82 = 1,638.25/x
  3. Step 3: Cross multiply
    5,742.25x = 8,614.82 × 1,638.25
  4. Step 4: Simplify right side
    5,742.25x = 14,113,228.87
  5. Step 5: Solve for x
    x = 14,113,228.87/5,742.25
  6. Step 6: Final answer
    x = 2,457.79

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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.