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Finding the Fourth Proportional to 20,408, 30,622.89 and 8,718.53

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Solution

The fourth proportional to 20,408, 30,622.89 and 8,718.53 is: 13,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408 : 30,622.89 = 8,718.53 : x
  2. Step 2: Convert to fraction form
    20,408/30,622.89 = 8,718.53/x
  3. Step 3: Cross multiply
    20,408x = 30,622.89 × 8,718.53
  4. Step 4: Simplify right side
    20,408x = 266,986,585.15
  5. Step 5: Solve for x
    x = 266,986,585.15/20,408
  6. Step 6: Final answer
    x = 13,082.45

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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.