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Finding the Fourth Proportional to 20,871, 31,309.20 and 9,771.84

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Solution

The fourth proportional to 20,871, 31,309.20 and 9,771.84 is: 14,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871 : 31,309.20 = 9,771.84 : x
  2. Step 2: Convert to fraction form
    20,871/31,309.20 = 9,771.84/x
  3. Step 3: Cross multiply
    20,871x = 31,309.20 × 9,771.84
  4. Step 4: Simplify right side
    20,871x = 305,948,492.93
  5. Step 5: Solve for x
    x = 305,948,492.93/20,871
  6. Step 6: Final answer
    x = 14,659.02

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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.