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Finding the Fourth Proportional to 5,389.22, 8,082 and 2,103.26

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Solution

The fourth proportional to 5,389.22, 8,082 and 2,103.26 is: 3,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.22 : 8,082 = 2,103.26 : x
  2. Step 2: Convert to fraction form
    5,389.22/8,082 = 2,103.26/x
  3. Step 3: Cross multiply
    5,389.22x = 8,082 × 2,103.26
  4. Step 4: Simplify right side
    5,389.22x = 16,998,547.32
  5. Step 5: Solve for x
    x = 16,998,547.32/5,389.22
  6. Step 6: Final answer
    x = 3,154.18

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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.