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Finding the Fourth Proportional to 6,742, 10,110.04 and 3,408.20

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Solution

The fourth proportional to 6,742, 10,110.04 and 3,408.20 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742 : 10,110.04 = 3,408.20 : x
  2. Step 2: Convert to fraction form
    6,742/10,110.04 = 3,408.20/x
  3. Step 3: Cross multiply
    6,742x = 10,110.04 × 3,408.20
  4. Step 4: Simplify right side
    6,742x = 34,457,038.33
  5. Step 5: Solve for x
    x = 34,457,038.33/6,742
  6. Step 6: Final answer
    x = 5,110.80

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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.