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Finding the Fourth Proportional to 8,732.21, 13,098.57 and 2,158.39

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Solution

The fourth proportional to 8,732.21, 13,098.57 and 2,158.39 is: 3,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.21 : 13,098.57 = 2,158.39 : x
  2. Step 2: Convert to fraction form
    8,732.21/13,098.57 = 2,158.39/x
  3. Step 3: Cross multiply
    8,732.21x = 13,098.57 × 2,158.39
  4. Step 4: Simplify right side
    8,732.21x = 28,271,822.50
  5. Step 5: Solve for x
    x = 28,271,822.50/8,732.21
  6. Step 6: Final answer
    x = 3,237.65

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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.