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Finding the Fourth Proportional to 20,506.85, 30,647.90 and 14,971.85

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Solution

The fourth proportional to 20,506.85, 30,647.90 and 14,971.85 is: 22,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.85 : 30,647.90 = 14,971.85 : x
  2. Step 2: Convert to fraction form
    20,506.85/30,647.90 = 14,971.85/x
  3. Step 3: Cross multiply
    20,506.85x = 30,647.90 × 14,971.85
  4. Step 4: Simplify right side
    20,506.85x = 458,855,533.52
  5. Step 5: Solve for x
    x = 458,855,533.52/20,506.85
  6. Step 6: Final answer
    x = 22,375.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.