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Finding the Fourth Proportional to 13,402.84, 20,101 and 8,644.50

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Solution

The fourth proportional to 13,402.84, 20,101 and 8,644.50 is: 12,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.84 : 20,101 = 8,644.50 : x
  2. Step 2: Convert to fraction form
    13,402.84/20,101 = 8,644.50/x
  3. Step 3: Cross multiply
    13,402.84x = 20,101 × 8,644.50
  4. Step 4: Simplify right side
    13,402.84x = 173,763,094.50
  5. Step 5: Solve for x
    x = 173,763,094.50/13,402.84
  6. Step 6: Final answer
    x = 12,964.65

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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.