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Finding the Fourth Proportional to 20,868, 31,316.40 and 8,556

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Solution

The fourth proportional to 20,868, 31,316.40 and 8,556 is: 12,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868 : 31,316.40 = 8,556 : x
  2. Step 2: Convert to fraction form
    20,868/31,316.40 = 8,556/x
  3. Step 3: Cross multiply
    20,868x = 31,316.40 × 8,556
  4. Step 4: Simplify right side
    20,868x = 267,943,118.40
  5. Step 5: Solve for x
    x = 267,943,118.40/20,868
  6. Step 6: Final answer
    x = 12,839.90

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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.