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Finding the Fourth Proportional to 20,078.88, 30,077.42 and 9,516.89

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Solution

The fourth proportional to 20,078.88, 30,077.42 and 9,516.89 is: 14,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.88 : 30,077.42 = 9,516.89 : x
  2. Step 2: Convert to fraction form
    20,078.88/30,077.42 = 9,516.89/x
  3. Step 3: Cross multiply
    20,078.88x = 30,077.42 × 9,516.89
  4. Step 4: Simplify right side
    20,078.88x = 286,243,299.65
  5. Step 5: Solve for x
    x = 286,243,299.65/20,078.88
  6. Step 6: Final answer
    x = 14,255.94

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1.5x scale

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.