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Finding the Fourth Proportional to 20,871, 31,306.50 and 8,559

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Solution

The fourth proportional to 20,871, 31,306.50 and 8,559 is: 12,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871 : 31,306.50 = 8,559 : x
  2. Step 2: Convert to fraction form
    20,871/31,306.50 = 8,559/x
  3. Step 3: Cross multiply
    20,871x = 31,306.50 × 8,559
  4. Step 4: Simplify right side
    20,871x = 267,952,333.50
  5. Step 5: Solve for x
    x = 267,952,333.50/20,871
  6. Step 6: Final answer
    x = 12,838.50

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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.