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Finding the Fourth Proportional to 9,162, 13,742.01 and 6,219.30

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Solution

The fourth proportional to 9,162, 13,742.01 and 6,219.30 is: 9,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 13,742.01 = 6,219.30 : x
  2. Step 2: Convert to fraction form
    9,162/13,742.01 = 6,219.30/x
  3. Step 3: Cross multiply
    9,162x = 13,742.01 × 6,219.30
  4. Step 4: Simplify right side
    9,162x = 85,465,682.79
  5. Step 5: Solve for x
    x = 85,465,682.79/9,162
  6. Step 6: Final answer
    x = 9,328.28

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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.